Magnet hypothesis: plant-pollinator interactions

Purpose: A test of the magnet hypothesis was examined in Mojave National Preserve by Ally Ruttan.

Hypothesis: Floral resource island created by shrubs and the associated beneficiary annual plants will positively and non-additively influence pollinator visitation rates.

Predictions:
(1) The frequency and duration of pollinator visitations to annuals is greater under shrubs than in the paired-open microsites (magnet H because of concentration).
(2) Annual plants under flowering entomophilous shrubs (Larrea tridentata) will have a higher frequency and duration of pollinator visitations than annual plants under anemophilous shrubs (Ambrosia dumosa) because of higher concentrations of suitable floral resources for pollinators (specificity of pollinator faciliation).
(3) Shrubs with annuals in their understory will have a higher frequency and duration of pollinator visitations than shrubs without annuals due to increased concentrations of floral resources for pollinators (reverse magnet effect and reciprocal benefits).
(4) Sites with both shrubs and annuals will have the highest frequency and duration of pollinator visitations to both the shrubs and the annuals (i.e. annuals under shrubs also with flowers are visited the most).

An interesting corollary is that there are appropriate floral resources for desert pollinators, that they discriminate, and that entomophilous and anemophilous shrubs facilitate flowering similarly.

Data wrangling

#libraries####
library(tidyverse)
library(DT)
library(lubridate)

#meta-data####
meta <- read_csv("data/meta-data.csv")
datatable(meta)

#error is SD

#data####
data.2015 <- read_csv("data/MNP.2015.csv")
data.2016 <- read_csv("data/MNP.2016.csv")

#merge
data <- rbind.data.frame(data.2015, data.2016)

#code treatment properly
data <- data %>% rename(net.treatment = treatment) #%>% na.omit(data) 

#keep key columns and minimize working dataframe
data <- data %>% select(-name, -plant, -start, -stop, -ID, -recorder)

#set year and rep as characters
data$year <- as.character(data$year)
data$rep <- as.character(data$rep)

#convert times to total seconds then to hour
data$total.duration <- (as.numeric(data$total.duration))/3600
data$visitation.duration <- (as.numeric(data$visitation.duration))/3600

#recode net.treatment column
data <- data %>% mutate(net.treatment = ifelse(net.treatment %in% c("SA"), "Larrea flowers with annuals", ifelse(net.treatment %in% c("SX"), "Larrea flowers without annuals", ifelse(net.treatment %in% c("SAA"), "Annual flowers under Larrea",ifelse(net.treatment %in% c("OA"), "Annual flowers in open",ifelse(net.treatment %in% c("AMB"), "Annual flowers under Ambrosia","NA"))))))

#frequency wrangled by RTU####
frequency <- data %>% group_by(year, day, net.treatment, rep, insect.RTU) %>% 
  summarise(net.time = sum(total.duration), mean.time = mean(total.duration), mean.temp = mean(temperature), net.visitation = sum(visitation.duration), mean.visitation.duration = mean(visitation.duration), net.floral.density = sum(floral.density), mean.floral.density = mean(floral.density), insect.richness = n_distinct(insect.RTU), count = n())

#richness in RTU
#richness <- frequency %>% group_by(year, day, net.treatment, rep) %>% summarise( insect.richness = mean(insect.richness)) #did not work correctly. need to wrangle data differently

#rates needed
frequency <- frequency %>% mutate(rate.per.flower = (count/mean.floral.density)) %>% mutate(rate.per.flower.hr = rate.per.flower/net.time) %>% mutate(rate.per.flower.mean.time = rate.per.flower/mean.time)

#exclude none and outliers
freq.rtu <- frequency %>% filter(insect.RTU != "none") %>% filter(rate.per.flower.hr <0.4) %>% filter(net.visitation <1) %>% filter(rate.per.flower.mean.time < 2)
frequency <- frequency %>% filter(rate.per.flower.hr <0.4) %>% filter(net.visitation <2)

#view frequency data
datatable(frequency)

#separate by year for stats
freq.2015 <- frequency %>% filter(year == 2015)
freq.2016 <- frequency %>% filter(year == 2016)

Data visualization

#visitations####
ggplot(freq.rtu, aes(net.treatment, count)) + geom_boxplot() + ylab("count") + scale_fill_brewer(palette = "Blues") + facet_wrap(~year) + coord_flip()

ggplot(freq.rtu, aes(net.treatment, count, fill = insect.RTU)) + geom_boxplot() + ylab("count") + scale_fill_brewer(palette = "Blues") + facet_wrap(~year) + coord_flip()

ggplot(freq.rtu, aes(net.treatment, rate.per.flower)) + geom_boxplot() + ylab("rate per flower") + scale_fill_brewer(palette = "Blues") + facet_wrap(~year) + coord_flip()

ggplot(freq.rtu, aes(net.treatment, rate.per.flower, fill = insect.RTU)) + geom_boxplot() + ylab("rate per flower") + scale_fill_brewer(palette = "Blues") + facet_wrap(~year) + coord_flip()

ggplot(freq.rtu, aes(net.treatment, rate.per.flower.mean.time)) + geom_boxplot() + ylab("rate per flower per mean hour recorded time") + scale_fill_brewer(palette = "Blues") + facet_wrap(~year) + coord_flip()

ggplot(freq.rtu, aes(net.treatment, rate.per.flower.mean.time, fill = insect.RTU)) + geom_boxplot() + ylab("rate per flower per mean hour recorded time") + scale_fill_brewer(palette = "Blues") + facet_wrap(~year) + coord_flip()

#visitation durations####
#net visitation time
ggplot(freq.rtu, aes(net.treatment, net.visitation)) + geom_boxplot() + ylab("net duration of visits (proportion of hour)") + scale_fill_brewer(palette = "Blues") + facet_wrap(~year) + coord_flip()

ggplot(freq.rtu, aes(net.treatment, net.visitation, fill = insect.RTU)) + geom_boxplot() + ylab("net duration of visits (proportion of hour)") + scale_fill_brewer(palette = "Blues") + facet_wrap(~year) + coord_flip()

#temperature####
ggplot(freq.rtu, aes(mean.temp, rate.per.flower, color = insect.RTU)) + geom_point() + ylab("rate per flower") + geom_smooth(method = "lm") + facet_wrap(~year)

ggplot(freq.rtu, aes(mean.temp, rate.per.flower.mean.time, color = insect.RTU)) + geom_point() + ylab("rate per flower per mean hour recorded time") + geom_smooth(method = "lm") + facet_wrap(~year)

ggplot(freq.rtu, aes(mean.temp, net.visitation, color = insect.RTU)) + geom_point() + ylab("net duration of visits") + geom_smooth(method = "lm") + facet_wrap(~year)

#floral density####
ggplot(freq.rtu, aes(mean.floral.density, rate.per.flower, color = insect.RTU)) + geom_point() + ylab("rate per flower") + geom_smooth(method = "lm") + facet_wrap(~year)

ggplot(freq.rtu, aes(mean.floral.density, rate.per.flower.mean.time, color = insect.RTU)) + geom_point() + ylab("rate per flower per mean hour recorded time") + geom_smooth(method = "lm") + facet_wrap(~year)

ggplot(freq.rtu, aes(mean.floral.density, net.visitation, color = insect.RTU)) + geom_point() + ylab("net duration of visits") + geom_smooth(method = "lm") + facet_wrap(~year)

EDA

summary(frequency)

##      year               day            net.treatment     
##  Length:586         Length:586         Length:586        
##  Class :character   Class :character   Class :character  
##  Mode  :character   Mode  :character   Mode  :character  
##                                                          
##                                                          
##                                                          
##      rep             insect.RTU           net.time          mean.time     
##  Length:586         Length:586         Min.   :  0.1653   Min.   :0.1653  
##  Class :character   Class :character   1st Qu.:  0.5000   1st Qu.:0.2500  
##  Mode  :character   Mode  :character   Median :  1.5056   Median :1.0509  
##                                        Mean   :  7.7688   Mean   :0.8730  
##                                        3rd Qu.:  6.2425   3rd Qu.:1.3842  
##                                        Max.   :136.6264   Max.   :1.6197  
##    mean.temp     net.visitation     mean.visitation.duration
##  Min.   :11.45   Min.   :0.000000   Min.   :0.000000        
##  1st Qu.:21.11   1st Qu.:0.000000   1st Qu.:0.000000        
##  Median :24.97   Median :0.007083   Median :0.003611        
##  Mean   :24.52   Mean   :0.099041   Mean   :0.017119        
##  3rd Qu.:27.80   3rd Qu.:0.083194   3rd Qu.:0.011181        
##  Max.   :33.97   Max.   :1.667222   Max.   :1.377222        
##  net.floral.density mean.floral.density insect.richness     count      
##  Min.   :   4.0     Min.   :  4.00      Min.   :1       Min.   : 1.00  
##  1st Qu.:  57.0     1st Qu.: 17.94      1st Qu.:1       1st Qu.: 1.00  
##  Median : 200.0     Median : 38.00      Median :1       Median : 2.00  
##  Mean   : 291.8     Mean   : 97.13      Mean   :1       Mean   : 6.56  
##  3rd Qu.: 400.0     3rd Qu.:200.00      3rd Qu.:1       3rd Qu.: 5.00  
##  Max.   :2821.0     Max.   :200.00      Max.   :1       Max.   :91.00  
##  rate.per.flower  rate.per.flower.hr rate.per.flower.mean.time
##  Min.   :0.0050   Min.   :0.009245   Min.   :0.01561          
##  1st Qu.:0.0100   1st Qu.:0.020000   1st Qu.:0.02078          
##  Median :0.0500   Median :0.020598   Median :0.06000          
##  Mean   :0.3098   Mean   :0.035349   Mean   :0.24933          
##  3rd Qu.:0.2810   3rd Qu.:0.043225   3rd Qu.:0.20971          
##  Max.   :4.5000   Max.   :0.208635   Max.   :3.59170

#distributions
require(fitdistrplus)
descdist(frequency$rate.per.flower, boot = 1000)

## summary statistics
## ------
## min:  0.005   max:  4.5 
## median:  0.05 
## mean:  0.3097598 
## estimated sd:  0.6282581 
## estimated skewness:  3.330262 
## estimated kurtosis:  15.94386

descdist(frequency$rate.per.flower.mean.time, boot = 1000)

## summary statistics
## ------
## min:  0.01560847   max:  3.591697 
## median:  0.06 
## mean:  0.2493308 
## estimated sd:  0.4838332 
## estimated skewness:  3.488698 
## estimated kurtosis:  17.31657

descdist(frequency$net.visitation, boot = 1000)

## summary statistics
## ------
## min:  0   max:  1.667222 
## median:  0.007083333 
## mean:  0.09904105 
## estimated sd:  0.2317456 
## estimated skewness:  3.961602 
## estimated kurtosis:  21.26021

#plots
plotdist(frequency$rate.per.flower)

plotdist(frequency$rate.per.flower.mean.time)

plotdist(frequency$net.visitation)

#fitting
a <- frequency$rate.per.flower
fitg <- fitdist(a, "gamma")
fitw <- fitdist(a, "weibull")
fitn <- fitdist(a, "norm")
fitl <- fitdist(a, "lnorm")
gofstat(list(fitg, fitw, fitn, fitl), fitnames = c("gamma", "weibull", "normal", "lognormal"))

## Goodness-of-fit statistics
##                                   gamma    weibull     normal  lognormal
## Kolmogorov-Smirnov statistic  0.1588281  0.1562218  0.3136604  0.1314932
## Cramer-von Mises statistic    4.4193165  2.1919002 19.2388262  1.7554728
## Anderson-Darling statistic   25.2043921 15.2869750 96.6238867 13.3821736
## 
## Goodness-of-fit criteria
##                                    gamma   weibull   normal lognormal
## Akaike's Information Criterion -747.0391 -828.5714 1121.245 -923.7305
## Bayesian Information Criterion -738.2924 -819.8248 1129.991 -914.9839

a <- frequency$rate.per.flower.mean.time
fitg <- fitdist(a, "gamma")
fitw <- fitdist(a, "weibull")
fitn <- fitdist(a, "norm")
fitl <- fitdist(a, "lnorm")
gofstat(list(fitg, fitw, fitn, fitl), fitnames = c("gamma", "weibull", "normal", "lognormal"))

## Goodness-of-fit statistics
##                                   gamma    weibull      normal  lognormal
## Kolmogorov-Smirnov statistic  0.1880873  0.2053811   0.3147911  0.1417855
## Cramer-von Mises statistic    7.8663760  4.9382684  20.1690865  3.0466860
## Anderson-Darling statistic   41.6774815 29.3612247 100.7645312 19.7224582
## 
## Goodness-of-fit criteria
##                                    gamma   weibull   normal lognormal
## Akaike's Information Criterion -608.0571 -690.2091 815.1054 -878.7291
## Bayesian Information Criterion -599.3104 -681.4625 823.8520 -869.9825

a <- frequency$net.visitation
fitn <- fitdist(a, "norm")
gofstat(fitn)  

## Goodness-of-fit statistics
##                               1-mle-norm
## Kolmogorov-Smirnov statistic   0.3344221
## Cramer-von Mises statistic    21.3254321
## Anderson-Darling statistic   106.0558557
## 
## Goodness-of-fit criteria
##                                1-mle-norm
## Akaike's Information Criterion  -47.60384
## Bayesian Information Criterion  -38.85721

detach("package:fitdistrplus", unload = TRUE)
#summary: gamma, gamma, normal have lowers AIC scores

Models

#Simple models####
#visitations
m <- glm(rate.per.flower~net.treatment:insect.RTU %in% rep + mean.temp, family = "Gamma", data = freq.2015)
anova(m, test = "Chisq")

## Analysis of Deviance Table
## 
## Model: Gamma, link: inverse
## 
## Response: rate.per.flower
## 
## Terms added sequentially (first to last)
## 
## 
##                              Df Deviance Resid. Df Resid. Dev  Pr(>Chi)
## NULL                                           333     929.11          
## mean.temp                     1   142.75       332     786.36 < 2.2e-16
## net.treatment:insect.RTU:rep 63   482.33       269     304.03 < 2.2e-16
##                                 
## NULL                            
## mean.temp                    ***
## net.treatment:insect.RTU:rep ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

require(lsmeans)
lsmeans(m, pairwise~net.treatment:insect.RTU, adjust="tukey")

## $lsmeans
##  net.treatment                  insect.RTU     lsmean         SE df
##  Annual flowers in open         bees         5.596594  0.9317306 NA
##  Annual flowers under Larrea    bees         2.330406  0.5853397 NA
##  Larrea flowers with annuals    bees        48.836735 11.0064231 NA
##  Larrea flowers without annuals bees        23.052811  4.7590563 NA
##  Annual flowers in open         flies        6.954708  1.0636256 NA
##  Annual flowers under Larrea    flies        3.092967  0.9019213 NA
##  Larrea flowers with annuals    flies       64.567708 16.4777773 NA
##  Larrea flowers without annuals flies       47.310083 14.2442489 NA
##  Annual flowers in open         none       138.612188 33.4239762 NA
##  Annual flowers under Larrea    none       111.900665 33.9907723 NA
##  Larrea flowers with annuals    none        59.991534 21.1430544 NA
##  Larrea flowers without annuals none        53.806337 17.4482277 NA
##  Annual flowers in open         other        8.743294  1.4836042 NA
##  Annual flowers under Larrea    other        4.887264  1.3772155 NA
##  Larrea flowers with annuals    other       15.838423  6.5342159 NA
##  Larrea flowers without annuals other       13.477510  8.9906340 NA
##  asymp.LCL  asymp.UCL
##   3.770436   7.422753
##   1.183161   3.477651
##  27.264542  70.408928
##  13.725232  32.380390
##   4.870040   9.039376
##   1.325233   4.860700
##  32.271858  96.863558
##  19.391868  75.228297
##  73.102398 204.121978
##  45.279975 178.521354
##  18.551909 101.431159
##  19.608439  88.004235
##   5.835483  11.651105
##   2.187971   7.586556
##   3.031595  28.645250
##  -4.143808  31.098829
## 
## Results are averaged over the levels of: rep 
## Results are given on the inverse (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                                                                   
##  Annual flowers in open,bees - Annual flowers under Larrea,bees             
##  Annual flowers in open,bees - Larrea flowers with annuals,bees             
##  Annual flowers in open,bees - Larrea flowers without annuals,bees          
##  Annual flowers in open,bees - Annual flowers in open,flies                 
##  Annual flowers in open,bees - Annual flowers under Larrea,flies            
##  Annual flowers in open,bees - Larrea flowers with annuals,flies            
##  Annual flowers in open,bees - Larrea flowers without annuals,flies         
##  Annual flowers in open,bees - Annual flowers in open,none                  
##  Annual flowers in open,bees - Annual flowers under Larrea,none             
##  Annual flowers in open,bees - Larrea flowers with annuals,none             
##  Annual flowers in open,bees - Larrea flowers without annuals,none          
##  Annual flowers in open,bees - Annual flowers in open,other                 
##  Annual flowers in open,bees - Annual flowers under Larrea,other            
##  Annual flowers in open,bees - Larrea flowers with annuals,other            
##  Annual flowers in open,bees - Larrea flowers without annuals,other         
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,bees        
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,bees     
##  Annual flowers under Larrea,bees - Annual flowers in open,flies            
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,flies       
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,flies       
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,flies    
##  Annual flowers under Larrea,bees - Annual flowers in open,none             
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,none        
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,none        
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,none     
##  Annual flowers under Larrea,bees - Annual flowers in open,other            
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,other       
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,other       
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,other    
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,bees     
##  Larrea flowers with annuals,bees - Annual flowers in open,flies            
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,flies       
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,flies       
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,flies    
##  Larrea flowers with annuals,bees - Annual flowers in open,none             
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,none        
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,none        
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,none     
##  Larrea flowers with annuals,bees - Annual flowers in open,other            
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,other       
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,other       
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,other    
##  Larrea flowers without annuals,bees - Annual flowers in open,flies         
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,flies    
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,flies    
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,flies 
##  Larrea flowers without annuals,bees - Annual flowers in open,none          
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,none     
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,none     
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,none  
##  Larrea flowers without annuals,bees - Annual flowers in open,other         
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,other    
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,other    
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,other 
##  Annual flowers in open,flies - Annual flowers under Larrea,flies           
##  Annual flowers in open,flies - Larrea flowers with annuals,flies           
##  Annual flowers in open,flies - Larrea flowers without annuals,flies        
##  Annual flowers in open,flies - Annual flowers in open,none                 
##  Annual flowers in open,flies - Annual flowers under Larrea,none            
##  Annual flowers in open,flies - Larrea flowers with annuals,none            
##  Annual flowers in open,flies - Larrea flowers without annuals,none         
##  Annual flowers in open,flies - Annual flowers in open,other                
##  Annual flowers in open,flies - Annual flowers under Larrea,other           
##  Annual flowers in open,flies - Larrea flowers with annuals,other           
##  Annual flowers in open,flies - Larrea flowers without annuals,other        
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,flies      
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,flies   
##  Annual flowers under Larrea,flies - Annual flowers in open,none            
##  Annual flowers under Larrea,flies - Annual flowers under Larrea,none       
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,none       
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,none    
##  Annual flowers under Larrea,flies - Annual flowers in open,other           
##  Annual flowers under Larrea,flies - Annual flowers under Larrea,other      
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,other      
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,other   
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,flies   
##  Larrea flowers with annuals,flies - Annual flowers in open,none            
##  Larrea flowers with annuals,flies - Annual flowers under Larrea,none       
##  Larrea flowers with annuals,flies - Larrea flowers with annuals,none       
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,none    
##  Larrea flowers with annuals,flies - Annual flowers in open,other           
##  Larrea flowers with annuals,flies - Annual flowers under Larrea,other      
##  Larrea flowers with annuals,flies - Larrea flowers with annuals,other      
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,other   
##  Larrea flowers without annuals,flies - Annual flowers in open,none         
##  Larrea flowers without annuals,flies - Annual flowers under Larrea,none    
##  Larrea flowers without annuals,flies - Larrea flowers with annuals,none    
##  Larrea flowers without annuals,flies - Larrea flowers without annuals,none 
##  Larrea flowers without annuals,flies - Annual flowers in open,other        
##  Larrea flowers without annuals,flies - Annual flowers under Larrea,other   
##  Larrea flowers without annuals,flies - Larrea flowers with annuals,other   
##  Larrea flowers without annuals,flies - Larrea flowers without annuals,other
##  Annual flowers in open,none - Annual flowers under Larrea,none             
##  Annual flowers in open,none - Larrea flowers with annuals,none             
##  Annual flowers in open,none - Larrea flowers without annuals,none          
##  Annual flowers in open,none - Annual flowers in open,other                 
##  Annual flowers in open,none - Annual flowers under Larrea,other            
##  Annual flowers in open,none - Larrea flowers with annuals,other            
##  Annual flowers in open,none - Larrea flowers without annuals,other         
##  Annual flowers under Larrea,none - Larrea flowers with annuals,none        
##  Annual flowers under Larrea,none - Larrea flowers without annuals,none     
##  Annual flowers under Larrea,none - Annual flowers in open,other            
##  Annual flowers under Larrea,none - Annual flowers under Larrea,other       
##  Annual flowers under Larrea,none - Larrea flowers with annuals,other       
##  Annual flowers under Larrea,none - Larrea flowers without annuals,other    
##  Larrea flowers with annuals,none - Larrea flowers without annuals,none     
##  Larrea flowers with annuals,none - Annual flowers in open,other            
##  Larrea flowers with annuals,none - Annual flowers under Larrea,other       
##  Larrea flowers with annuals,none - Larrea flowers with annuals,other       
##  Larrea flowers with annuals,none - Larrea flowers without annuals,other    
##  Larrea flowers without annuals,none - Annual flowers in open,other         
##  Larrea flowers without annuals,none - Annual flowers under Larrea,other    
##  Larrea flowers without annuals,none - Larrea flowers with annuals,other    
##  Larrea flowers without annuals,none - Larrea flowers without annuals,other 
##  Annual flowers in open,other - Annual flowers under Larrea,other           
##  Annual flowers in open,other - Larrea flowers with annuals,other           
##  Annual flowers in open,other - Larrea flowers without annuals,other        
##  Annual flowers under Larrea,other - Larrea flowers with annuals,other      
##  Annual flowers under Larrea,other - Larrea flowers without annuals,other   
##  Larrea flowers with annuals,other - Larrea flowers without annuals,other   
##      estimate         SE df z.ratio p.value
##     3.2661880  1.1634957 NA   2.807  0.2646
##   -43.2401413 11.0677227 NA  -3.907  0.0092
##   -17.4562169  4.8787700 NA  -3.578  0.0303
##    -1.3581141  0.8097343 NA  -1.677  0.9529
##     2.5036275  1.3488120 NA   1.856  0.8955
##   -58.9711140 16.5172551 NA  -3.570  0.0311
##   -41.7134884 14.2824067 NA  -2.921  0.2046
##  -133.0155937 33.4199730 NA  -3.980  0.0069
##  -106.3040705 34.0116469 NA  -3.126  0.1215
##   -54.3949396 21.1728328 NA  -2.569  0.4205
##   -48.2097425 17.4835440 NA  -2.757  0.2940
##    -3.1466997  1.3460304 NA  -2.338  0.5951
##     0.7093306  1.7605849 NA   0.403  1.0000
##   -10.2418285  6.6353679 NA  -1.544  0.9775
##    -7.8809163  9.0649706 NA  -0.869  1.0000
##   -46.5063292 11.0199421 NA  -4.220  0.0026
##   -20.7224049  4.7921629 NA  -4.324  0.0016
##    -4.6243021  1.2641908 NA  -3.658  0.0230
##    -0.7625605  1.0692757 NA  -0.713  1.0000
##   -62.2373020 16.4869522 NA  -3.775  0.0151
##   -44.9796764 14.2555557 NA  -3.155  0.1120
##  -136.2817817 33.4306720 NA  -4.077  0.0047
##  -109.5702585 33.9950619 NA  -3.223  0.0925
##   -57.6611276 21.1502985 NA  -2.726  0.3134
##   -51.4759304 17.4570752 NA  -2.949  0.1913
##    -6.4128877  1.6309433 NA  -3.932  0.0083
##    -2.5568574  1.4860635 NA  -1.721  0.9419
##   -13.5080165  6.5571101 NA  -2.060  0.7906
##   -11.1471043  9.0072351 NA  -1.238  0.9976
##    25.7839244 11.9875086 NA   2.151  0.7317
##    41.8820272 11.0767394 NA   3.781  0.0147
##    45.7437688 11.0413593 NA   4.143  0.0036
##   -15.7309728 19.8121734 NA  -0.794  1.0000
##     1.5266529 17.9991901 NA   0.085  1.0000
##   -89.7754524 35.1945988 NA  -2.551  0.4338
##   -63.0639292 35.7259148 NA  -1.765  0.9286
##   -11.1547984 23.8337396 NA  -0.468  1.0000
##    -4.9696012 20.6268597 NA  -0.241  1.0000
##    40.0934415 11.1237068 NA   3.604  0.0277
##    43.9494718 11.0875177 NA   3.964  0.0073
##    32.9983127 12.7942087 NA   2.579  0.4132
##    35.3592249 14.2064824 NA   2.489  0.4798
##    16.0981028  4.9018537 NA   3.284  0.0774
##    19.9598444  4.8411401 NA   4.123  0.0039
##   -41.5148971 17.1489212 NA  -2.421  0.5316
##   -24.2572715 15.0168747 NA  -1.615  0.9660
##  -115.5593768 33.7641915 NA  -3.423  0.0506
##   -88.8478536 34.3208296 NA  -2.589  0.4063
##   -36.9387227 21.6703703 NA  -1.705  0.9461
##   -30.7535256 18.0837423 NA  -1.701  0.9472
##    14.3095172  5.0081933 NA   2.857  0.2369
##    18.1655475  4.9480788 NA   3.671  0.0219
##     7.2143884  8.0782962 NA   0.893  1.0000
##     9.5753006 10.1682119 NA   0.942  0.9999
##     3.8617416  1.4368158 NA   2.688  0.3383
##   -57.6129999 16.5234986 NA  -3.487  0.0411
##   -40.3553743 14.2906074 NA  -2.824  0.2551
##  -131.6574796 33.4261348 NA  -3.939  0.0081
##  -104.9459564 34.0144543 NA  -3.085  0.1353
##   -53.0368256 21.1778352 NA  -2.504  0.4682
##   -46.8516284 17.4897006 NA  -2.679  0.3441
##    -1.7885856  1.4965358 NA  -1.195  0.9984
##     2.0674447  1.8218112 NA   1.135  0.9991
##    -8.8837144  6.6506035 NA  -1.336  0.9946
##    -6.5228022  9.0760562 NA  -0.719  1.0000
##   -61.4747415 16.5012700 NA  -3.725  0.0181
##   -44.2171159 14.2720867 NA  -3.098  0.1308
##  -135.5192212 33.4376554 NA  -4.053  0.0052
##  -108.8076980 34.0020140 NA  -3.200  0.0988
##   -56.8985672 21.1614579 NA  -2.689  0.3375
##   -50.7133700 17.4705912 NA  -2.903  0.2133
##    -5.6503272  1.7682001 NA  -3.196  0.1001
##    -1.7942970  1.6371820 NA  -1.096  0.9994
##   -12.7454560  6.5930352 NA  -1.933  0.8608
##   -10.3845438  9.0334234 NA  -1.150  0.9990
##    17.2576256 21.7796659 NA   0.792  1.0000
##   -74.0444797 37.2692694 NA  -1.987  0.8331
##   -47.3329565 37.7721433 NA  -1.253  0.9973
##     4.5761744 26.8036519 NA   0.171  1.0000
##    10.7613716 23.9969808 NA   0.448  1.0000
##    55.8244143 16.5551058 NA   3.372  0.0593
##    59.6804446 16.5323861 NA   3.610  0.0272
##    48.7292855 17.7223798 NA   2.750  0.2988
##    51.0901977 18.7674037 NA   2.722  0.3159
##   -91.3021053 36.3348689 NA  -2.513  0.4619
##   -64.5905821 36.8536651 NA  -1.753  0.9325
##   -12.6814512 25.4925774 NA  -0.497  1.0000
##    -6.4962541 22.5230365 NA  -0.288  1.0000
##    38.5667887 14.3275586 NA   2.692  0.3356
##    42.4228190 14.3090051 NA   2.965  0.1840
##    31.4716599 15.6693480 NA   2.008  0.8210
##    33.8325721 16.8422847 NA   2.009  0.8208
##    26.7115232 47.6753584 NA   0.560  1.0000
##    78.6206540 39.5534935 NA   1.988  0.8325
##    84.8058512 37.7077092 NA   2.249  0.6618
##   129.8688940 33.4430813 NA   3.883  0.0100
##   133.7249242 33.4560135 NA   3.997  0.0064
##   122.7737652 34.0616938 NA   3.604  0.0277
##   125.1346774 34.6170753 NA   3.615  0.0267
##    51.9091309 40.0282596 NA   1.297  0.9961
##    58.0943280 38.2057966 NA   1.521  0.9804
##   103.1573708 34.0297237 NA   3.031  0.1557
##   107.0134011 34.0169064 NA   3.146  0.1149
##    96.0622420 34.6107368 NA   2.776  0.2831
##    98.4231542 35.1572900 NA   2.800  0.2690
##     6.1851972 27.4112519 NA   0.226  1.0000
##    51.2482399 21.2025610 NA   2.417  0.5344
##    55.1042702 21.1858583 NA   2.601  0.3976
##    44.1531111 22.1270670 NA   1.995  0.8283
##    46.5140233 22.9725938 NA   2.025  0.8117
##    45.0630427 17.5196745 NA   2.572  0.4183
##    48.9190730 17.5002349 NA   2.795  0.2714
##    37.9679139 18.6286589 NA   2.038  0.8038
##    40.3288261 19.6254956 NA   2.055  0.7938
##     3.8560303  2.0904738 NA   1.845  0.9002
##    -7.0951288  6.7286252 NA  -1.054  0.9996
##    -4.7342166  9.1333512 NA  -0.518  1.0000
##   -10.9511591  6.6702491 NA  -1.642  0.9608
##    -8.5902469  9.0898606 NA  -0.945  0.9999
##     2.3609122 11.1078895 NA   0.213  1.0000
## 
## Results are averaged over the levels of: rep 
## P value adjustment: tukey method for comparing a family of 16 estimates

m <- glm(rate.per.flower~net.treatment:insect.RTU %in% rep + mean.temp, family = "Gamma", data = freq.2016)
anova(m, test = "Chisq")

## Analysis of Deviance Table
## 
## Model: Gamma, link: inverse
## 
## Response: rate.per.flower
## 
## Terms added sequentially (first to last)
## 
## 
##                              Df Deviance Resid. Df Resid. Dev  Pr(>Chi)
## NULL                                           251     938.23          
## mean.temp                     1    50.14       250     888.09 < 2.2e-16
## net.treatment:insect.RTU:rep 64   795.14       186      92.96 < 2.2e-16
##                                 
## NULL                            
## mean.temp                    ***
## net.treatment:insect.RTU:rep ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

lsmeans(m, pairwise~net.treatment:insect.RTU, adjust="tukey")

## $lsmeans
##  net.treatment                  insect.RTU   lsmean        SE df asymp.LCL
##  Annual flowers in open         bees       2.017214 0.6913953 NA 0.6621037
##  Annual flowers under Ambrosia  bees             NA        NA NA        NA
##  Annual flowers under Larrea    bees             NA        NA NA        NA
##  Larrea flowers with annuals    bees             NA        NA NA        NA
##  Larrea flowers without annuals bees             NA        NA NA        NA
##  Annual flowers in open         flies            NA        NA NA        NA
##  Annual flowers under Ambrosia  flies            NA        NA NA        NA
##  Annual flowers under Larrea    flies            NA        NA NA        NA
##  Larrea flowers with annuals    flies            NA        NA NA        NA
##  Larrea flowers without annuals flies            NA        NA NA        NA
##  Annual flowers in open         none             NA        NA NA        NA
##  Annual flowers under Ambrosia  none             NA        NA NA        NA
##  Annual flowers under Larrea    none             NA        NA NA        NA
##  Larrea flowers with annuals    none             NA        NA NA        NA
##  Larrea flowers without annuals none             NA        NA NA        NA
##  Annual flowers in open         other            NA        NA NA        NA
##  Annual flowers under Ambrosia  other            NA        NA NA        NA
##  Annual flowers under Larrea    other            NA        NA NA        NA
##  Larrea flowers with annuals    other            NA        NA NA        NA
##  Larrea flowers without annuals other            NA        NA NA        NA
##  asymp.UCL
##   3.372324
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
## 
## Results are averaged over the levels of: rep 
## Results are given on the inverse (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                                                                   
##  Annual flowers in open,bees - Annual flowers under Ambrosia,bees           
##  Annual flowers in open,bees - Annual flowers under Larrea,bees             
##  Annual flowers in open,bees - Larrea flowers with annuals,bees             
##  Annual flowers in open,bees - Larrea flowers without annuals,bees          
##  Annual flowers in open,bees - Annual flowers in open,flies                 
##  Annual flowers in open,bees - Annual flowers under Ambrosia,flies          
##  Annual flowers in open,bees - Annual flowers under Larrea,flies            
##  Annual flowers in open,bees - Larrea flowers with annuals,flies            
##  Annual flowers in open,bees - Larrea flowers without annuals,flies         
##  Annual flowers in open,bees - Annual flowers in open,none                  
##  Annual flowers in open,bees - Annual flowers under Ambrosia,none           
##  Annual flowers in open,bees - Annual flowers under Larrea,none             
##  Annual flowers in open,bees - Larrea flowers with annuals,none             
##  Annual flowers in open,bees - Larrea flowers without annuals,none          
##  Annual flowers in open,bees - Annual flowers in open,other                 
##  Annual flowers in open,bees - Annual flowers under Ambrosia,other          
##  Annual flowers in open,bees - Annual flowers under Larrea,other            
##  Annual flowers in open,bees - Larrea flowers with annuals,other            
##  Annual flowers in open,bees - Larrea flowers without annuals,other         
##  Annual flowers under Ambrosia,bees - Annual flowers under Larrea,bees      
##  Annual flowers under Ambrosia,bees - Larrea flowers with annuals,bees      
##  Annual flowers under Ambrosia,bees - Larrea flowers without annuals,bees   
##  Annual flowers under Ambrosia,bees - Annual flowers in open,flies          
##  Annual flowers under Ambrosia,bees - Annual flowers under Ambrosia,flies   
##  Annual flowers under Ambrosia,bees - Annual flowers under Larrea,flies     
##  Annual flowers under Ambrosia,bees - Larrea flowers with annuals,flies     
##  Annual flowers under Ambrosia,bees - Larrea flowers without annuals,flies  
##  Annual flowers under Ambrosia,bees - Annual flowers in open,none           
##  Annual flowers under Ambrosia,bees - Annual flowers under Ambrosia,none    
##  Annual flowers under Ambrosia,bees - Annual flowers under Larrea,none      
##  Annual flowers under Ambrosia,bees - Larrea flowers with annuals,none      
##  Annual flowers under Ambrosia,bees - Larrea flowers without annuals,none   
##  Annual flowers under Ambrosia,bees - Annual flowers in open,other          
##  Annual flowers under Ambrosia,bees - Annual flowers under Ambrosia,other   
##  Annual flowers under Ambrosia,bees - Annual flowers under Larrea,other     
##  Annual flowers under Ambrosia,bees - Larrea flowers with annuals,other     
##  Annual flowers under Ambrosia,bees - Larrea flowers without annuals,other  
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,bees        
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,bees     
##  Annual flowers under Larrea,bees - Annual flowers in open,flies            
##  Annual flowers under Larrea,bees - Annual flowers under Ambrosia,flies     
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,flies       
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,flies       
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,flies    
##  Annual flowers under Larrea,bees - Annual flowers in open,none             
##  Annual flowers under Larrea,bees - Annual flowers under Ambrosia,none      
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,none        
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,none        
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,none     
##  Annual flowers under Larrea,bees - Annual flowers in open,other            
##  Annual flowers under Larrea,bees - Annual flowers under Ambrosia,other     
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,other       
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,other       
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,other    
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,bees     
##  Larrea flowers with annuals,bees - Annual flowers in open,flies            
##  Larrea flowers with annuals,bees - Annual flowers under Ambrosia,flies     
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,flies       
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,flies       
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,flies    
##  Larrea flowers with annuals,bees - Annual flowers in open,none             
##  Larrea flowers with annuals,bees - Annual flowers under Ambrosia,none      
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,none        
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,none        
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,none     
##  Larrea flowers with annuals,bees - Annual flowers in open,other            
##  Larrea flowers with annuals,bees - Annual flowers under Ambrosia,other     
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,other       
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,other       
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,other    
##  Larrea flowers without annuals,bees - Annual flowers in open,flies         
##  Larrea flowers without annuals,bees - Annual flowers under Ambrosia,flies  
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,flies    
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,flies    
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,flies 
##  Larrea flowers without annuals,bees - Annual flowers in open,none          
##  Larrea flowers without annuals,bees - Annual flowers under Ambrosia,none   
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,none     
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,none     
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,none  
##  Larrea flowers without annuals,bees - Annual flowers in open,other         
##  Larrea flowers without annuals,bees - Annual flowers under Ambrosia,other  
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,other    
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,other    
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,other 
##  Annual flowers in open,flies - Annual flowers under Ambrosia,flies         
##  Annual flowers in open,flies - Annual flowers under Larrea,flies           
##  Annual flowers in open,flies - Larrea flowers with annuals,flies           
##  Annual flowers in open,flies - Larrea flowers without annuals,flies        
##  Annual flowers in open,flies - Annual flowers in open,none                 
##  Annual flowers in open,flies - Annual flowers under Ambrosia,none          
##  Annual flowers in open,flies - Annual flowers under Larrea,none            
##  Annual flowers in open,flies - Larrea flowers with annuals,none            
##  Annual flowers in open,flies - Larrea flowers without annuals,none         
##  Annual flowers in open,flies - Annual flowers in open,other                
##  Annual flowers in open,flies - Annual flowers under Ambrosia,other         
##  Annual flowers in open,flies - Annual flowers under Larrea,other           
##  Annual flowers in open,flies - Larrea flowers with annuals,other           
##  Annual flowers in open,flies - Larrea flowers without annuals,other        
##  Annual flowers under Ambrosia,flies - Annual flowers under Larrea,flies    
##  Annual flowers under Ambrosia,flies - Larrea flowers with annuals,flies    
##  Annual flowers under Ambrosia,flies - Larrea flowers without annuals,flies 
##  Annual flowers under Ambrosia,flies - Annual flowers in open,none          
##  Annual flowers under Ambrosia,flies - Annual flowers under Ambrosia,none   
##  Annual flowers under Ambrosia,flies - Annual flowers under Larrea,none     
##  Annual flowers under Ambrosia,flies - Larrea flowers with annuals,none     
##  Annual flowers under Ambrosia,flies - Larrea flowers without annuals,none  
##  Annual flowers under Ambrosia,flies - Annual flowers in open,other         
##  Annual flowers under Ambrosia,flies - Annual flowers under Ambrosia,other  
##  Annual flowers under Ambrosia,flies - Annual flowers under Larrea,other    
##  Annual flowers under Ambrosia,flies - Larrea flowers with annuals,other    
##  Annual flowers under Ambrosia,flies - Larrea flowers without annuals,other 
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,flies      
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,flies   
##  Annual flowers under Larrea,flies - Annual flowers in open,none            
##  Annual flowers under Larrea,flies - Annual flowers under Ambrosia,none     
##  Annual flowers under Larrea,flies - Annual flowers under Larrea,none       
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,none       
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,none    
##  Annual flowers under Larrea,flies - Annual flowers in open,other           
##  Annual flowers under Larrea,flies - Annual flowers under Ambrosia,other    
##  Annual flowers under Larrea,flies - Annual flowers under Larrea,other      
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,other      
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,other   
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,flies   
##  Larrea flowers with annuals,flies - Annual flowers in open,none            
##  Larrea flowers with annuals,flies - Annual flowers under Ambrosia,none     
##  Larrea flowers with annuals,flies - Annual flowers under Larrea,none       
##  Larrea flowers with annuals,flies - Larrea flowers with annuals,none       
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,none    
##  Larrea flowers with annuals,flies - Annual flowers in open,other           
##  Larrea flowers with annuals,flies - Annual flowers under Ambrosia,other    
##  Larrea flowers with annuals,flies - Annual flowers under Larrea,other      
##  Larrea flowers with annuals,flies - Larrea flowers with annuals,other      
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,other   
##  Larrea flowers without annuals,flies - Annual flowers in open,none         
##  Larrea flowers without annuals,flies - Annual flowers under Ambrosia,none  
##  Larrea flowers without annuals,flies - Annual flowers under Larrea,none    
##  Larrea flowers without annuals,flies - Larrea flowers with annuals,none    
##  Larrea flowers without annuals,flies - Larrea flowers without annuals,none 
##  Larrea flowers without annuals,flies - Annual flowers in open,other        
##  Larrea flowers without annuals,flies - Annual flowers under Ambrosia,other 
##  Larrea flowers without annuals,flies - Annual flowers under Larrea,other   
##  Larrea flowers without annuals,flies - Larrea flowers with annuals,other   
##  Larrea flowers without annuals,flies - Larrea flowers without annuals,other
##  Annual flowers in open,none - Annual flowers under Ambrosia,none           
##  Annual flowers in open,none - Annual flowers under Larrea,none             
##  Annual flowers in open,none - Larrea flowers with annuals,none             
##  Annual flowers in open,none - Larrea flowers without annuals,none          
##  Annual flowers in open,none - Annual flowers in open,other                 
##  Annual flowers in open,none - Annual flowers under Ambrosia,other          
##  Annual flowers in open,none - Annual flowers under Larrea,other            
##  Annual flowers in open,none - Larrea flowers with annuals,other            
##  Annual flowers in open,none - Larrea flowers without annuals,other         
##  Annual flowers under Ambrosia,none - Annual flowers under Larrea,none      
##  Annual flowers under Ambrosia,none - Larrea flowers with annuals,none      
##  Annual flowers under Ambrosia,none - Larrea flowers without annuals,none   
##  Annual flowers under Ambrosia,none - Annual flowers in open,other          
##  Annual flowers under Ambrosia,none - Annual flowers under Ambrosia,other   
##  Annual flowers under Ambrosia,none - Annual flowers under Larrea,other     
##  Annual flowers under Ambrosia,none - Larrea flowers with annuals,other     
##  Annual flowers under Ambrosia,none - Larrea flowers without annuals,other  
##  Annual flowers under Larrea,none - Larrea flowers with annuals,none        
##  Annual flowers under Larrea,none - Larrea flowers without annuals,none     
##  Annual flowers under Larrea,none - Annual flowers in open,other            
##  Annual flowers under Larrea,none - Annual flowers under Ambrosia,other     
##  Annual flowers under Larrea,none - Annual flowers under Larrea,other       
##  Annual flowers under Larrea,none - Larrea flowers with annuals,other       
##  Annual flowers under Larrea,none - Larrea flowers without annuals,other    
##  Larrea flowers with annuals,none - Larrea flowers without annuals,none     
##  Larrea flowers with annuals,none - Annual flowers in open,other            
##  Larrea flowers with annuals,none - Annual flowers under Ambrosia,other     
##  Larrea flowers with annuals,none - Annual flowers under Larrea,other       
##  Larrea flowers with annuals,none - Larrea flowers with annuals,other       
##  Larrea flowers with annuals,none - Larrea flowers without annuals,other    
##  Larrea flowers without annuals,none - Annual flowers in open,other         
##  Larrea flowers without annuals,none - Annual flowers under Ambrosia,other  
##  Larrea flowers without annuals,none - Annual flowers under Larrea,other    
##  Larrea flowers without annuals,none - Larrea flowers with annuals,other    
##  Larrea flowers without annuals,none - Larrea flowers without annuals,other 
##  Annual flowers in open,other - Annual flowers under Ambrosia,other         
##  Annual flowers in open,other - Annual flowers under Larrea,other           
##  Annual flowers in open,other - Larrea flowers with annuals,other           
##  Annual flowers in open,other - Larrea flowers without annuals,other        
##  Annual flowers under Ambrosia,other - Annual flowers under Larrea,other    
##  Annual flowers under Ambrosia,other - Larrea flowers with annuals,other    
##  Annual flowers under Ambrosia,other - Larrea flowers without annuals,other 
##  Annual flowers under Larrea,other - Larrea flowers with annuals,other      
##  Annual flowers under Larrea,other - Larrea flowers without annuals,other   
##  Larrea flowers with annuals,other - Larrea flowers without annuals,other   
##  estimate SE df z.ratio p.value
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
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## 
## Results are averaged over the levels of: rep 
## P value adjustment: tukey method for comparing a family of 20 estimates

lsmeans(m, pairwise~insect.RTU, adjust="tukey")

## $lsmeans
##  insect.RTU lsmean SE df asymp.LCL asymp.UCL
##  bees           NA NA NA        NA        NA
##  flies          NA NA NA        NA        NA
##  none           NA NA NA        NA        NA
##  other          NA NA NA        NA        NA
## 
## Results are averaged over the levels of: net.treatment, rep 
## Results are given on the inverse (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast      estimate SE df z.ratio p.value
##  bees - flies        NA NA NA      NA      NA
##  bees - none         NA NA NA      NA      NA
##  bees - other        NA NA NA      NA      NA
##  flies - none        NA NA NA      NA      NA
##  flies - other       NA NA NA      NA      NA
##  none - other        NA NA NA      NA      NA
## 
## Results are averaged over the levels of: net.treatment, rep 
## P value adjustment: tukey method for comparing a family of 4 estimates

m <- glm(rate.per.flower.mean.time~net.treatment:insect.RTU %in% rep + mean.temp, family = "Gamma", data = freq.2015)
anova(m, test = "Chisq")

## Analysis of Deviance Table
## 
## Model: Gamma, link: inverse
## 
## Response: rate.per.flower.mean.time
## 
## Terms added sequentially (first to last)
## 
## 
##                              Df Deviance Resid. Df Resid. Dev  Pr(>Chi)
## NULL                                           333     497.96          
## mean.temp                     1   104.26       332     393.70 < 2.2e-16
## net.treatment:insect.RTU:rep 63   233.18       269     160.52 < 2.2e-16
##                                 
## NULL                            
## mean.temp                    ***
## net.treatment:insect.RTU:rep ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

lsmeans(m, pairwise~net.treatment:insect.RTU, adjust="tukey")

## $lsmeans
##  net.treatment                  insect.RTU    lsmean         SE df
##  Annual flowers in open         bees        7.004123  0.8838182 NA
##  Annual flowers under Larrea    bees        3.210404  0.6034313 NA
##  Larrea flowers with annuals    bees       13.971572  2.3518283 NA
##  Larrea flowers without annuals bees       19.499195  3.0338336 NA
##  Annual flowers in open         flies       8.939302  1.0299893 NA
##  Annual flowers under Larrea    flies       4.383496  0.9416902 NA
##  Larrea flowers with annuals    flies      29.172379  5.5702400 NA
##  Larrea flowers without annuals flies      27.260051  5.1962140 NA
##  Annual flowers in open         none       37.862802  6.2630816 NA
##  Annual flowers under Larrea    none       32.015644  7.2856505 NA
##  Larrea flowers with annuals    none       31.526574  7.3746289 NA
##  Larrea flowers without annuals none       21.934381  5.5941875 NA
##  Annual flowers in open         other      11.795512  1.5745243 NA
##  Annual flowers under Larrea    other       7.100593  1.4549594 NA
##  Larrea flowers with annuals    other      21.524514  6.7930049 NA
##  Larrea flowers without annuals other      20.904294 10.4061677 NA
##   asymp.LCL asymp.UCL
##   5.2718716  8.736375
##   2.0277007  4.393108
##   9.3620732 18.581071
##  13.5529904 25.445400
##   6.9205603 10.958044
##   2.5378167  6.229175
##  18.2549090 40.089849
##  17.0756590 37.444444
##  25.5873879 50.138217
##  17.7360318 46.295257
##  17.0725666 45.980581
##  10.9699754 32.898787
##   8.7095008 14.881523
##   4.2489251  9.952261
##   8.2104693 34.838559
##   0.5085804 41.300008
## 
## Results are averaged over the levels of: rep 
## Results are given on the inverse (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                                                                   
##  Annual flowers in open,bees - Annual flowers under Larrea,bees             
##  Annual flowers in open,bees - Larrea flowers with annuals,bees             
##  Annual flowers in open,bees - Larrea flowers without annuals,bees          
##  Annual flowers in open,bees - Annual flowers in open,flies                 
##  Annual flowers in open,bees - Annual flowers under Larrea,flies            
##  Annual flowers in open,bees - Larrea flowers with annuals,flies            
##  Annual flowers in open,bees - Larrea flowers without annuals,flies         
##  Annual flowers in open,bees - Annual flowers in open,none                  
##  Annual flowers in open,bees - Annual flowers under Larrea,none             
##  Annual flowers in open,bees - Larrea flowers with annuals,none             
##  Annual flowers in open,bees - Larrea flowers without annuals,none          
##  Annual flowers in open,bees - Annual flowers in open,other                 
##  Annual flowers in open,bees - Annual flowers under Larrea,other            
##  Annual flowers in open,bees - Larrea flowers with annuals,other            
##  Annual flowers in open,bees - Larrea flowers without annuals,other         
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,bees        
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,bees     
##  Annual flowers under Larrea,bees - Annual flowers in open,flies            
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,flies       
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,flies       
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,flies    
##  Annual flowers under Larrea,bees - Annual flowers in open,none             
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,none        
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,none        
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,none     
##  Annual flowers under Larrea,bees - Annual flowers in open,other            
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,other       
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,other       
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,other    
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,bees     
##  Larrea flowers with annuals,bees - Annual flowers in open,flies            
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,flies       
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,flies       
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,flies    
##  Larrea flowers with annuals,bees - Annual flowers in open,none             
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,none        
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,none        
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,none     
##  Larrea flowers with annuals,bees - Annual flowers in open,other            
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,other       
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,other       
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,other    
##  Larrea flowers without annuals,bees - Annual flowers in open,flies         
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,flies    
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,flies    
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,flies 
##  Larrea flowers without annuals,bees - Annual flowers in open,none          
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,none     
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,none     
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,none  
##  Larrea flowers without annuals,bees - Annual flowers in open,other         
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,other    
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,other    
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,other 
##  Annual flowers in open,flies - Annual flowers under Larrea,flies           
##  Annual flowers in open,flies - Larrea flowers with annuals,flies           
##  Annual flowers in open,flies - Larrea flowers without annuals,flies        
##  Annual flowers in open,flies - Annual flowers in open,none                 
##  Annual flowers in open,flies - Annual flowers under Larrea,none            
##  Annual flowers in open,flies - Larrea flowers with annuals,none            
##  Annual flowers in open,flies - Larrea flowers without annuals,none         
##  Annual flowers in open,flies - Annual flowers in open,other                
##  Annual flowers in open,flies - Annual flowers under Larrea,other           
##  Annual flowers in open,flies - Larrea flowers with annuals,other           
##  Annual flowers in open,flies - Larrea flowers without annuals,other        
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,flies      
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,flies   
##  Annual flowers under Larrea,flies - Annual flowers in open,none            
##  Annual flowers under Larrea,flies - Annual flowers under Larrea,none       
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,none       
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,none    
##  Annual flowers under Larrea,flies - Annual flowers in open,other           
##  Annual flowers under Larrea,flies - Annual flowers under Larrea,other      
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,other      
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,other   
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,flies   
##  Larrea flowers with annuals,flies - Annual flowers in open,none            
##  Larrea flowers with annuals,flies - Annual flowers under Larrea,none       
##  Larrea flowers with annuals,flies - Larrea flowers with annuals,none       
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,none    
##  Larrea flowers with annuals,flies - Annual flowers in open,other           
##  Larrea flowers with annuals,flies - Annual flowers under Larrea,other      
##  Larrea flowers with annuals,flies - Larrea flowers with annuals,other      
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,other   
##  Larrea flowers without annuals,flies - Annual flowers in open,none         
##  Larrea flowers without annuals,flies - Annual flowers under Larrea,none    
##  Larrea flowers without annuals,flies - Larrea flowers with annuals,none    
##  Larrea flowers without annuals,flies - Larrea flowers without annuals,none 
##  Larrea flowers without annuals,flies - Annual flowers in open,other        
##  Larrea flowers without annuals,flies - Annual flowers under Larrea,other   
##  Larrea flowers without annuals,flies - Larrea flowers with annuals,other   
##  Larrea flowers without annuals,flies - Larrea flowers without annuals,other
##  Annual flowers in open,none - Annual flowers under Larrea,none             
##  Annual flowers in open,none - Larrea flowers with annuals,none             
##  Annual flowers in open,none - Larrea flowers without annuals,none          
##  Annual flowers in open,none - Annual flowers in open,other                 
##  Annual flowers in open,none - Annual flowers under Larrea,other            
##  Annual flowers in open,none - Larrea flowers with annuals,other            
##  Annual flowers in open,none - Larrea flowers without annuals,other         
##  Annual flowers under Larrea,none - Larrea flowers with annuals,none        
##  Annual flowers under Larrea,none - Larrea flowers without annuals,none     
##  Annual flowers under Larrea,none - Annual flowers in open,other            
##  Annual flowers under Larrea,none - Annual flowers under Larrea,other       
##  Annual flowers under Larrea,none - Larrea flowers with annuals,other       
##  Annual flowers under Larrea,none - Larrea flowers without annuals,other    
##  Larrea flowers with annuals,none - Larrea flowers without annuals,none     
##  Larrea flowers with annuals,none - Annual flowers in open,other            
##  Larrea flowers with annuals,none - Annual flowers under Larrea,other       
##  Larrea flowers with annuals,none - Larrea flowers with annuals,other       
##  Larrea flowers with annuals,none - Larrea flowers without annuals,other    
##  Larrea flowers without annuals,none - Annual flowers in open,other         
##  Larrea flowers without annuals,none - Annual flowers under Larrea,other    
##  Larrea flowers without annuals,none - Larrea flowers with annuals,other    
##  Larrea flowers without annuals,none - Larrea flowers without annuals,other 
##  Annual flowers in open,other - Annual flowers under Larrea,other           
##  Annual flowers in open,other - Larrea flowers with annuals,other           
##  Annual flowers in open,other - Larrea flowers without annuals,other        
##  Annual flowers under Larrea,other - Larrea flowers with annuals,other      
##  Annual flowers under Larrea,other - Larrea flowers without annuals,other   
##  Larrea flowers with annuals,other - Larrea flowers without annuals,other   
##      estimate         SE df z.ratio p.value
##    3.79371896  1.1350693 NA   3.342  0.0649
##   -6.96744855  2.5854999 NA  -2.695  0.3336
##  -12.49507161  3.1912660 NA  -3.915  0.0089
##   -1.93517884  0.8229337 NA  -2.352  0.5846
##    2.62062769  1.3436636 NA   1.950  0.8522
##  -22.16825544  5.6722097 NA  -3.908  0.0091
##  -20.25592796  5.2830475 NA  -3.834  0.0121
##  -30.85867885  6.2424165 NA  -4.943  0.0001
##  -25.01152092  7.3689880 NA  -3.394  0.0553
##  -24.52245027  7.4496277 NA  -3.292  0.0757
##  -14.93025804  5.6834040 NA  -2.627  0.3794
##   -4.79138838  1.4700487 NA  -3.259  0.0833
##   -0.09646974  1.7927616 NA  -0.054  1.0000
##  -14.52039095  6.8805459 NA  -2.110  0.7588
##  -13.90017098 10.4639308 NA  -1.328  0.9949
##  -10.76116751  2.4198586 NA  -4.447  0.0010
##  -16.28879057  3.0898517 NA  -5.272  <.0001
##   -5.72889780  1.2443984 NA  -4.604  0.0005
##   -1.17309127  1.1119024 NA  -1.055  0.9996
##  -25.96197440  5.5993723 NA  -4.637  0.0004
##  -24.04964692  5.2298288 NA  -4.599  0.0005
##  -34.65239781  6.3008380 NA  -5.500  <.0001
##  -28.80523988  7.3074043 NA  -3.942  0.0080
##  -28.31616923  7.3969058 NA  -3.828  0.0124
##  -18.72397700  5.6245179 NA  -3.329  0.0676
##   -8.58510734  1.7204134 NA  -4.990  0.0001
##   -3.89018870  1.5644588 NA  -2.487  0.4816
##  -18.31410991  6.8165201 NA  -2.687  0.3389
##  -17.69388994 10.4214899 NA  -1.698  0.9479
##   -5.52762306  3.8314924 NA  -1.443  0.9882
##    5.03226971  2.6293598 NA   1.914  0.8701
##    9.58807623  2.5258490 NA   3.796  0.0139
##  -15.20080690  6.0380325 NA  -2.518  0.4584
##  -13.28847942  5.7005417 NA  -2.331  0.6002
##  -23.89123030  6.7115031 NA  -3.560  0.0322
##  -18.04407237  7.6478945 NA  -2.359  0.5787
##  -17.55500173  7.7346598 NA  -2.270  0.6465
##   -7.96280950  6.0633252 NA  -1.313  0.9955
##    2.17606017  2.8833451 NA   0.755  1.0000
##    6.87097880  2.7496872 NA   2.499  0.4724
##   -7.55294240  7.1806133 NA  -1.052  0.9996
##   -6.93272243 10.6631264 NA  -0.650  1.0000
##   10.55989277  3.2305859 NA   3.269  0.0810
##   15.11569930  3.1734304 NA   4.763  0.0002
##   -9.67318383  6.3386032 NA  -1.526  0.9797
##   -7.76085635  6.0154636 NA  -1.290  0.9963
##  -18.36360724  6.9701895 NA  -2.635  0.3741
##  -12.51644931  7.8879644 NA  -1.587  0.9710
##  -12.02737866  7.9712337 NA  -1.509  0.9818
##   -2.43518643  6.3612828 NA  -0.383  1.0000
##    7.70368323  3.4416958 NA   2.238  0.6697
##   12.39860187  3.3577507 NA   3.693  0.0203
##   -2.02531934  7.4355750 NA  -0.272  1.0000
##   -1.40509937 10.8365091 NA  -0.130  1.0000
##    4.55580653  1.4374784 NA   3.169  0.1077
##  -20.23307660  5.6924238 NA  -3.554  0.0328
##  -18.32074912  5.3077956 NA  -3.452  0.0461
##  -28.92350001  6.2761343 NA  -4.608  0.0005
##  -23.07634208  7.3838645 NA  -3.125  0.1216
##  -22.58727143  7.4653476 NA  -3.026  0.1580
##  -12.99507920  5.7052617 NA  -2.278  0.6405
##   -2.85620954  1.6097550 NA  -1.774  0.9257
##    1.83870910  1.8575445 NA   0.990  0.9998
##  -12.58521211  6.8967172 NA  -1.825  0.9079
##  -11.96499214 10.4745156 NA  -1.142  0.9991
##  -24.78888313  5.6459842 NA  -4.391  0.0012
##  -22.87655565  5.2796113 NA  -4.333  0.0016
##  -33.47930654  6.3418370 NA  -5.279  <.0001
##  -27.63214861  7.3432033 NA  -3.763  0.0158
##  -27.14307796  7.4322432 NA  -3.652  0.0234
##  -17.55088573  5.6708718 NA  -3.095  0.1319
##   -7.41201607  1.8649159 NA  -3.974  0.0070
##   -2.71709743  1.7238021 NA  -1.576  0.9727
##  -17.14101864  6.8548759 NA  -2.501  0.4711
##  -16.52079867 10.4466198 NA  -1.581  0.9718
##    1.91232748  7.6153366 NA   0.251  1.0000
##   -8.69042341  8.3985183 NA  -1.035  0.9997
##   -2.84326548  9.1645598 NA  -0.310  1.0000
##   -2.35419483  9.2370577 NA  -0.255  1.0000
##    7.23799740  7.8906027 NA   0.917  0.9999
##   17.37686707  5.8141371 NA   2.989  0.1734
##   22.07178570  5.7496932 NA   3.839  0.0119
##    7.64786449  8.7783793 NA   0.871  1.0000
##    8.26808446 11.7983493 NA   0.701  1.0000
##  -10.60275089  8.1440809 NA  -1.302  0.9959
##   -4.75559296  8.9464704 NA  -0.532  1.0000
##   -4.26652231  9.0196580 NA  -0.473  1.0000
##    5.32566992  7.6337473 NA   0.698  1.0000
##   15.46453959  5.4391805 NA   2.843  0.2445
##   20.15945822  5.3932727 NA   3.738  0.0173
##    5.73553702  8.5501967 NA   0.671  1.0000
##    6.35575698 11.6296372 NA   0.547  1.0000
##    5.84715793  9.6252754 NA   0.607  1.0000
##    6.33622858  9.6884491 NA   0.654  1.0000
##   15.92842081  8.4079989 NA   1.894  0.8790
##   26.06729047  6.3920749 NA   4.078  0.0047
##   30.76220911  6.4487570 NA   4.770  0.0002
##   16.33828790  9.2569667 NA   1.765  0.9287
##   16.95850787 12.1590053 NA   1.395  0.9916
##    0.48907065 10.3613713 NA   0.047  1.0000
##   10.08126288  9.1816259 NA   1.098  0.9994
##   20.22013254  7.4778552 NA   2.704  0.3276
##   24.91505118  7.4225715 NA   3.357  0.0621
##   10.49112997  9.9543957 NA   1.054  0.9996
##   11.11134994 12.6976622 NA   0.875  1.0000
##    9.59219223  9.2533754 NA   1.037  0.9997
##   19.73106190  7.5586770 NA   2.610  0.3910
##   24.42598053  7.5116341 NA   3.252  0.0851
##   10.00205933 10.0213860 NA   0.998  0.9998
##   10.62227929 12.7502745 NA   0.833  1.0000
##   10.13886966  5.8272916 NA   1.740  0.9364
##   14.83378830  5.7757392 NA   2.568  0.4211
##    0.40986709  8.7960512 NA   0.047  1.0000
##    1.03008706 11.8115412 NA   0.087  1.0000
##    4.69491864  2.2030363 NA   2.131  0.7451
##   -9.72900257  6.9973388 NA  -1.390  0.9919
##   -9.10878260 10.5410201 NA  -0.864  1.0000
##  -14.42392121  6.9400625 NA  -2.078  0.7793
##  -13.80370124 10.5026607 NA  -1.314  0.9955
##    0.62021997 12.4218547 NA   0.050  1.0000
## 
## Results are averaged over the levels of: rep 
## P value adjustment: tukey method for comparing a family of 16 estimates

m <- glm(rate.per.flower.mean.time~net.treatment:insect.RTU %in% rep + mean.temp, family = "Gamma", data = freq.2016)
anova(m, test = "Chisq")

## Analysis of Deviance Table
## 
## Model: Gamma, link: inverse
## 
## Response: rate.per.flower.mean.time
## 
## Terms added sequentially (first to last)
## 
## 
##                              Df Deviance Resid. Df Resid. Dev  Pr(>Chi)
## NULL                                           251     635.62          
## mean.temp                     1    52.61       250     583.02 < 2.2e-16
## net.treatment:insect.RTU:rep 64   491.51       186      91.51 < 2.2e-16
##                                 
## NULL                            
## mean.temp                    ***
## net.treatment:insect.RTU:rep ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

lsmeans(m, pairwise~net.treatment:insect.RTU, adjust="tukey")

## $lsmeans
##  net.treatment                  insect.RTU   lsmean        SE df asymp.LCL
##  Annual flowers in open         bees       2.847501 0.9634236 NA 0.9592257
##  Annual flowers under Ambrosia  bees             NA        NA NA        NA
##  Annual flowers under Larrea    bees             NA        NA NA        NA
##  Larrea flowers with annuals    bees             NA        NA NA        NA
##  Larrea flowers without annuals bees             NA        NA NA        NA
##  Annual flowers in open         flies            NA        NA NA        NA
##  Annual flowers under Ambrosia  flies            NA        NA NA        NA
##  Annual flowers under Larrea    flies            NA        NA NA        NA
##  Larrea flowers with annuals    flies            NA        NA NA        NA
##  Larrea flowers without annuals flies            NA        NA NA        NA
##  Annual flowers in open         none             NA        NA NA        NA
##  Annual flowers under Ambrosia  none             NA        NA NA        NA
##  Annual flowers under Larrea    none             NA        NA NA        NA
##  Larrea flowers with annuals    none             NA        NA NA        NA
##  Larrea flowers without annuals none             NA        NA NA        NA
##  Annual flowers in open         other            NA        NA NA        NA
##  Annual flowers under Ambrosia  other            NA        NA NA        NA
##  Annual flowers under Larrea    other            NA        NA NA        NA
##  Larrea flowers with annuals    other            NA        NA NA        NA
##  Larrea flowers without annuals other            NA        NA NA        NA
##  asymp.UCL
##   4.735777
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
##         NA
## 
## Results are averaged over the levels of: rep 
## Results are given on the inverse (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                                                                   
##  Annual flowers in open,bees - Annual flowers under Ambrosia,bees           
##  Annual flowers in open,bees - Annual flowers under Larrea,bees             
##  Annual flowers in open,bees - Larrea flowers with annuals,bees             
##  Annual flowers in open,bees - Larrea flowers without annuals,bees          
##  Annual flowers in open,bees - Annual flowers in open,flies                 
##  Annual flowers in open,bees - Annual flowers under Ambrosia,flies          
##  Annual flowers in open,bees - Annual flowers under Larrea,flies            
##  Annual flowers in open,bees - Larrea flowers with annuals,flies            
##  Annual flowers in open,bees - Larrea flowers without annuals,flies         
##  Annual flowers in open,bees - Annual flowers in open,none                  
##  Annual flowers in open,bees - Annual flowers under Ambrosia,none           
##  Annual flowers in open,bees - Annual flowers under Larrea,none             
##  Annual flowers in open,bees - Larrea flowers with annuals,none             
##  Annual flowers in open,bees - Larrea flowers without annuals,none          
##  Annual flowers in open,bees - Annual flowers in open,other                 
##  Annual flowers in open,bees - Annual flowers under Ambrosia,other          
##  Annual flowers in open,bees - Annual flowers under Larrea,other            
##  Annual flowers in open,bees - Larrea flowers with annuals,other            
##  Annual flowers in open,bees - Larrea flowers without annuals,other         
##  Annual flowers under Ambrosia,bees - Annual flowers under Larrea,bees      
##  Annual flowers under Ambrosia,bees - Larrea flowers with annuals,bees      
##  Annual flowers under Ambrosia,bees - Larrea flowers without annuals,bees   
##  Annual flowers under Ambrosia,bees - Annual flowers in open,flies          
##  Annual flowers under Ambrosia,bees - Annual flowers under Ambrosia,flies   
##  Annual flowers under Ambrosia,bees - Annual flowers under Larrea,flies     
##  Annual flowers under Ambrosia,bees - Larrea flowers with annuals,flies     
##  Annual flowers under Ambrosia,bees - Larrea flowers without annuals,flies  
##  Annual flowers under Ambrosia,bees - Annual flowers in open,none           
##  Annual flowers under Ambrosia,bees - Annual flowers under Ambrosia,none    
##  Annual flowers under Ambrosia,bees - Annual flowers under Larrea,none      
##  Annual flowers under Ambrosia,bees - Larrea flowers with annuals,none      
##  Annual flowers under Ambrosia,bees - Larrea flowers without annuals,none   
##  Annual flowers under Ambrosia,bees - Annual flowers in open,other          
##  Annual flowers under Ambrosia,bees - Annual flowers under Ambrosia,other   
##  Annual flowers under Ambrosia,bees - Annual flowers under Larrea,other     
##  Annual flowers under Ambrosia,bees - Larrea flowers with annuals,other     
##  Annual flowers under Ambrosia,bees - Larrea flowers without annuals,other  
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,bees        
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,bees     
##  Annual flowers under Larrea,bees - Annual flowers in open,flies            
##  Annual flowers under Larrea,bees - Annual flowers under Ambrosia,flies     
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,flies       
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,flies       
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,flies    
##  Annual flowers under Larrea,bees - Annual flowers in open,none             
##  Annual flowers under Larrea,bees - Annual flowers under Ambrosia,none      
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,none        
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,none        
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,none     
##  Annual flowers under Larrea,bees - Annual flowers in open,other            
##  Annual flowers under Larrea,bees - Annual flowers under Ambrosia,other     
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,other       
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,other       
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,other    
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,bees     
##  Larrea flowers with annuals,bees - Annual flowers in open,flies            
##  Larrea flowers with annuals,bees - Annual flowers under Ambrosia,flies     
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,flies       
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,flies       
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,flies    
##  Larrea flowers with annuals,bees - Annual flowers in open,none             
##  Larrea flowers with annuals,bees - Annual flowers under Ambrosia,none      
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,none        
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,none        
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,none     
##  Larrea flowers with annuals,bees - Annual flowers in open,other            
##  Larrea flowers with annuals,bees - Annual flowers under Ambrosia,other     
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,other       
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,other       
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,other    
##  Larrea flowers without annuals,bees - Annual flowers in open,flies         
##  Larrea flowers without annuals,bees - Annual flowers under Ambrosia,flies  
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,flies    
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,flies    
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,flies 
##  Larrea flowers without annuals,bees - Annual flowers in open,none          
##  Larrea flowers without annuals,bees - Annual flowers under Ambrosia,none   
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,none     
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,none     
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,none  
##  Larrea flowers without annuals,bees - Annual flowers in open,other         
##  Larrea flowers without annuals,bees - Annual flowers under Ambrosia,other  
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,other    
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,other    
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,other 
##  Annual flowers in open,flies - Annual flowers under Ambrosia,flies         
##  Annual flowers in open,flies - Annual flowers under Larrea,flies           
##  Annual flowers in open,flies - Larrea flowers with annuals,flies           
##  Annual flowers in open,flies - Larrea flowers without annuals,flies        
##  Annual flowers in open,flies - Annual flowers in open,none                 
##  Annual flowers in open,flies - Annual flowers under Ambrosia,none          
##  Annual flowers in open,flies - Annual flowers under Larrea,none            
##  Annual flowers in open,flies - Larrea flowers with annuals,none            
##  Annual flowers in open,flies - Larrea flowers without annuals,none         
##  Annual flowers in open,flies - Annual flowers in open,other                
##  Annual flowers in open,flies - Annual flowers under Ambrosia,other         
##  Annual flowers in open,flies - Annual flowers under Larrea,other           
##  Annual flowers in open,flies - Larrea flowers with annuals,other           
##  Annual flowers in open,flies - Larrea flowers without annuals,other        
##  Annual flowers under Ambrosia,flies - Annual flowers under Larrea,flies    
##  Annual flowers under Ambrosia,flies - Larrea flowers with annuals,flies    
##  Annual flowers under Ambrosia,flies - Larrea flowers without annuals,flies 
##  Annual flowers under Ambrosia,flies - Annual flowers in open,none          
##  Annual flowers under Ambrosia,flies - Annual flowers under Ambrosia,none   
##  Annual flowers under Ambrosia,flies - Annual flowers under Larrea,none     
##  Annual flowers under Ambrosia,flies - Larrea flowers with annuals,none     
##  Annual flowers under Ambrosia,flies - Larrea flowers without annuals,none  
##  Annual flowers under Ambrosia,flies - Annual flowers in open,other         
##  Annual flowers under Ambrosia,flies - Annual flowers under Ambrosia,other  
##  Annual flowers under Ambrosia,flies - Annual flowers under Larrea,other    
##  Annual flowers under Ambrosia,flies - Larrea flowers with annuals,other    
##  Annual flowers under Ambrosia,flies - Larrea flowers without annuals,other 
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,flies      
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,flies   
##  Annual flowers under Larrea,flies - Annual flowers in open,none            
##  Annual flowers under Larrea,flies - Annual flowers under Ambrosia,none     
##  Annual flowers under Larrea,flies - Annual flowers under Larrea,none       
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,none       
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,none    
##  Annual flowers under Larrea,flies - Annual flowers in open,other           
##  Annual flowers under Larrea,flies - Annual flowers under Ambrosia,other    
##  Annual flowers under Larrea,flies - Annual flowers under Larrea,other      
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,other      
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,other   
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,flies   
##  Larrea flowers with annuals,flies - Annual flowers in open,none            
##  Larrea flowers with annuals,flies - Annual flowers under Ambrosia,none     
##  Larrea flowers with annuals,flies - Annual flowers under Larrea,none       
##  Larrea flowers with annuals,flies - Larrea flowers with annuals,none       
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,none    
##  Larrea flowers with annuals,flies - Annual flowers in open,other           
##  Larrea flowers with annuals,flies - Annual flowers under Ambrosia,other    
##  Larrea flowers with annuals,flies - Annual flowers under Larrea,other      
##  Larrea flowers with annuals,flies - Larrea flowers with annuals,other      
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,other   
##  Larrea flowers without annuals,flies - Annual flowers in open,none         
##  Larrea flowers without annuals,flies - Annual flowers under Ambrosia,none  
##  Larrea flowers without annuals,flies - Annual flowers under Larrea,none    
##  Larrea flowers without annuals,flies - Larrea flowers with annuals,none    
##  Larrea flowers without annuals,flies - Larrea flowers without annuals,none 
##  Larrea flowers without annuals,flies - Annual flowers in open,other        
##  Larrea flowers without annuals,flies - Annual flowers under Ambrosia,other 
##  Larrea flowers without annuals,flies - Annual flowers under Larrea,other   
##  Larrea flowers without annuals,flies - Larrea flowers with annuals,other   
##  Larrea flowers without annuals,flies - Larrea flowers without annuals,other
##  Annual flowers in open,none - Annual flowers under Ambrosia,none           
##  Annual flowers in open,none - Annual flowers under Larrea,none             
##  Annual flowers in open,none - Larrea flowers with annuals,none             
##  Annual flowers in open,none - Larrea flowers without annuals,none          
##  Annual flowers in open,none - Annual flowers in open,other                 
##  Annual flowers in open,none - Annual flowers under Ambrosia,other          
##  Annual flowers in open,none - Annual flowers under Larrea,other            
##  Annual flowers in open,none - Larrea flowers with annuals,other            
##  Annual flowers in open,none - Larrea flowers without annuals,other         
##  Annual flowers under Ambrosia,none - Annual flowers under Larrea,none      
##  Annual flowers under Ambrosia,none - Larrea flowers with annuals,none      
##  Annual flowers under Ambrosia,none - Larrea flowers without annuals,none   
##  Annual flowers under Ambrosia,none - Annual flowers in open,other          
##  Annual flowers under Ambrosia,none - Annual flowers under Ambrosia,other   
##  Annual flowers under Ambrosia,none - Annual flowers under Larrea,other     
##  Annual flowers under Ambrosia,none - Larrea flowers with annuals,other     
##  Annual flowers under Ambrosia,none - Larrea flowers without annuals,other  
##  Annual flowers under Larrea,none - Larrea flowers with annuals,none        
##  Annual flowers under Larrea,none - Larrea flowers without annuals,none     
##  Annual flowers under Larrea,none - Annual flowers in open,other            
##  Annual flowers under Larrea,none - Annual flowers under Ambrosia,other     
##  Annual flowers under Larrea,none - Annual flowers under Larrea,other       
##  Annual flowers under Larrea,none - Larrea flowers with annuals,other       
##  Annual flowers under Larrea,none - Larrea flowers without annuals,other    
##  Larrea flowers with annuals,none - Larrea flowers without annuals,none     
##  Larrea flowers with annuals,none - Annual flowers in open,other            
##  Larrea flowers with annuals,none - Annual flowers under Ambrosia,other     
##  Larrea flowers with annuals,none - Annual flowers under Larrea,other       
##  Larrea flowers with annuals,none - Larrea flowers with annuals,other       
##  Larrea flowers with annuals,none - Larrea flowers without annuals,other    
##  Larrea flowers without annuals,none - Annual flowers in open,other         
##  Larrea flowers without annuals,none - Annual flowers under Ambrosia,other  
##  Larrea flowers without annuals,none - Annual flowers under Larrea,other    
##  Larrea flowers without annuals,none - Larrea flowers with annuals,other    
##  Larrea flowers without annuals,none - Larrea flowers without annuals,other 
##  Annual flowers in open,other - Annual flowers under Ambrosia,other         
##  Annual flowers in open,other - Annual flowers under Larrea,other           
##  Annual flowers in open,other - Larrea flowers with annuals,other           
##  Annual flowers in open,other - Larrea flowers without annuals,other        
##  Annual flowers under Ambrosia,other - Annual flowers under Larrea,other    
##  Annual flowers under Ambrosia,other - Larrea flowers with annuals,other    
##  Annual flowers under Ambrosia,other - Larrea flowers without annuals,other 
##  Annual flowers under Larrea,other - Larrea flowers with annuals,other      
##  Annual flowers under Larrea,other - Larrea flowers without annuals,other   
##  Larrea flowers with annuals,other - Larrea flowers without annuals,other   
##  estimate SE df z.ratio p.value
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
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## 
## Results are averaged over the levels of: rep 
## P value adjustment: tukey method for comparing a family of 20 estimates

#duration of visits
m <- glm(net.visitation~net.treatment:insect.RTU %in% rep + mean.temp, family = "gaussian", data = freq.2015)
anova(m, test = "Chisq")

## Analysis of Deviance Table
## 
## Model: gaussian, link: identity
## 
## Response: net.visitation
## 
## Terms added sequentially (first to last)
## 
## 
##                              Df Deviance Resid. Df Resid. Dev Pr(>Chi)  
## NULL                                           333     18.919           
## mean.temp                     1   0.1729       332     18.747  0.07025 .
## net.treatment:insect.RTU:rep 63   4.5550       269     14.192  0.02714 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

lsmeans(m, pairwise~net.treatment:insect.RTU, adjust="tukey")

## $lsmeans
##  net.treatment                  insect.RTU      lsmean         SE df
##  Annual flowers in open         bees        0.17053992 0.04843014 NA
##  Annual flowers under Larrea    bees        0.19609053 0.04220830 NA
##  Larrea flowers with annuals    bees        0.01982123 0.04412242 NA
##  Larrea flowers without annuals bees        0.01855310 0.04329475 NA
##  Annual flowers in open         flies       0.13486985 0.04814372 NA
##  Annual flowers under Larrea    flies       0.15551891 0.05286957 NA
##  Larrea flowers with annuals    flies       0.01801463 0.05359086 NA
##  Larrea flowers without annuals flies       0.01135870 0.05220513 NA
##  Annual flowers in open         none       -0.03785165 0.06378108 NA
##  Annual flowers under Larrea    none        0.01906126 0.06357914 NA
##  Larrea flowers with annuals    none        0.01395092 0.06585015 NA
##  Larrea flowers without annuals none        0.01422787 0.06157019 NA
##  Annual flowers in open         other      -0.01868866 0.05776093 NA
##  Annual flowers under Larrea    other       0.37067576 0.05121834 NA
##  Larrea flowers with annuals    other       0.02649216 0.08542076 NA
##  Larrea flowers without annuals other       0.04058655 0.10831309 NA
##    asymp.LCL  asymp.UCL
##   0.07561859 0.26546125
##   0.11336378 0.27881727
##  -0.06665713 0.10629959
##  -0.06630305 0.10340926
##   0.04050990 0.22922980
##   0.05189645 0.25914136
##  -0.08702153 0.12305079
##  -0.09096147 0.11367887
##  -0.16286027 0.08715698
##  -0.10555156 0.14367408
##  -0.11511300 0.14301484
##  -0.10644749 0.13490323
##  -0.13189800 0.09452069
##   0.27028967 0.47106186
##  -0.14092945 0.19391377
##  -0.17170322 0.25287631
## 
## Results are averaged over the levels of: rep 
## Results are given on the identity (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                                                                   
##  Annual flowers in open,bees - Annual flowers under Larrea,bees             
##  Annual flowers in open,bees - Larrea flowers with annuals,bees             
##  Annual flowers in open,bees - Larrea flowers without annuals,bees          
##  Annual flowers in open,bees - Annual flowers in open,flies                 
##  Annual flowers in open,bees - Annual flowers under Larrea,flies            
##  Annual flowers in open,bees - Larrea flowers with annuals,flies            
##  Annual flowers in open,bees - Larrea flowers without annuals,flies         
##  Annual flowers in open,bees - Annual flowers in open,none                  
##  Annual flowers in open,bees - Annual flowers under Larrea,none             
##  Annual flowers in open,bees - Larrea flowers with annuals,none             
##  Annual flowers in open,bees - Larrea flowers without annuals,none          
##  Annual flowers in open,bees - Annual flowers in open,other                 
##  Annual flowers in open,bees - Annual flowers under Larrea,other            
##  Annual flowers in open,bees - Larrea flowers with annuals,other            
##  Annual flowers in open,bees - Larrea flowers without annuals,other         
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,bees        
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,bees     
##  Annual flowers under Larrea,bees - Annual flowers in open,flies            
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,flies       
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,flies       
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,flies    
##  Annual flowers under Larrea,bees - Annual flowers in open,none             
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,none        
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,none        
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,none     
##  Annual flowers under Larrea,bees - Annual flowers in open,other            
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,other       
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,other       
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,other    
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,bees     
##  Larrea flowers with annuals,bees - Annual flowers in open,flies            
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,flies       
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,flies       
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,flies    
##  Larrea flowers with annuals,bees - Annual flowers in open,none             
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,none        
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,none        
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,none     
##  Larrea flowers with annuals,bees - Annual flowers in open,other            
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,other       
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,other       
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,other    
##  Larrea flowers without annuals,bees - Annual flowers in open,flies         
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,flies    
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,flies    
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,flies 
##  Larrea flowers without annuals,bees - Annual flowers in open,none          
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,none     
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,none     
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,none  
##  Larrea flowers without annuals,bees - Annual flowers in open,other         
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,other    
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,other    
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,other 
##  Annual flowers in open,flies - Annual flowers under Larrea,flies           
##  Annual flowers in open,flies - Larrea flowers with annuals,flies           
##  Annual flowers in open,flies - Larrea flowers without annuals,flies        
##  Annual flowers in open,flies - Annual flowers in open,none                 
##  Annual flowers in open,flies - Annual flowers under Larrea,none            
##  Annual flowers in open,flies - Larrea flowers with annuals,none            
##  Annual flowers in open,flies - Larrea flowers without annuals,none         
##  Annual flowers in open,flies - Annual flowers in open,other                
##  Annual flowers in open,flies - Annual flowers under Larrea,other           
##  Annual flowers in open,flies - Larrea flowers with annuals,other           
##  Annual flowers in open,flies - Larrea flowers without annuals,other        
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,flies      
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,flies   
##  Annual flowers under Larrea,flies - Annual flowers in open,none            
##  Annual flowers under Larrea,flies - Annual flowers under Larrea,none       
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,none       
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,none    
##  Annual flowers under Larrea,flies - Annual flowers in open,other           
##  Annual flowers under Larrea,flies - Annual flowers under Larrea,other      
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,other      
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,other   
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,flies   
##  Larrea flowers with annuals,flies - Annual flowers in open,none            
##  Larrea flowers with annuals,flies - Annual flowers under Larrea,none       
##  Larrea flowers with annuals,flies - Larrea flowers with annuals,none       
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,none    
##  Larrea flowers with annuals,flies - Annual flowers in open,other           
##  Larrea flowers with annuals,flies - Annual flowers under Larrea,other      
##  Larrea flowers with annuals,flies - Larrea flowers with annuals,other      
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,other   
##  Larrea flowers without annuals,flies - Annual flowers in open,none         
##  Larrea flowers without annuals,flies - Annual flowers under Larrea,none    
##  Larrea flowers without annuals,flies - Larrea flowers with annuals,none    
##  Larrea flowers without annuals,flies - Larrea flowers without annuals,none 
##  Larrea flowers without annuals,flies - Annual flowers in open,other        
##  Larrea flowers without annuals,flies - Annual flowers under Larrea,other   
##  Larrea flowers without annuals,flies - Larrea flowers with annuals,other   
##  Larrea flowers without annuals,flies - Larrea flowers without annuals,other
##  Annual flowers in open,none - Annual flowers under Larrea,none             
##  Annual flowers in open,none - Larrea flowers with annuals,none             
##  Annual flowers in open,none - Larrea flowers without annuals,none          
##  Annual flowers in open,none - Annual flowers in open,other                 
##  Annual flowers in open,none - Annual flowers under Larrea,other            
##  Annual flowers in open,none - Larrea flowers with annuals,other            
##  Annual flowers in open,none - Larrea flowers without annuals,other         
##  Annual flowers under Larrea,none - Larrea flowers with annuals,none        
##  Annual flowers under Larrea,none - Larrea flowers without annuals,none     
##  Annual flowers under Larrea,none - Annual flowers in open,other            
##  Annual flowers under Larrea,none - Annual flowers under Larrea,other       
##  Annual flowers under Larrea,none - Larrea flowers with annuals,other       
##  Annual flowers under Larrea,none - Larrea flowers without annuals,other    
##  Larrea flowers with annuals,none - Larrea flowers without annuals,none     
##  Larrea flowers with annuals,none - Annual flowers in open,other            
##  Larrea flowers with annuals,none - Annual flowers under Larrea,other       
##  Larrea flowers with annuals,none - Larrea flowers with annuals,other       
##  Larrea flowers with annuals,none - Larrea flowers without annuals,other    
##  Larrea flowers without annuals,none - Annual flowers in open,other         
##  Larrea flowers without annuals,none - Annual flowers under Larrea,other    
##  Larrea flowers without annuals,none - Larrea flowers with annuals,other    
##  Larrea flowers without annuals,none - Larrea flowers without annuals,other 
##  Annual flowers in open,other - Annual flowers under Larrea,other           
##  Annual flowers in open,other - Larrea flowers with annuals,other           
##  Annual flowers in open,other - Larrea flowers without annuals,other        
##  Annual flowers under Larrea,other - Larrea flowers with annuals,other      
##  Annual flowers under Larrea,other - Larrea flowers without annuals,other   
##  Larrea flowers with annuals,other - Larrea flowers without annuals,other   
##       estimate         SE df z.ratio p.value
##  -0.0255506032 0.06842379 NA  -0.373  1.0000
##   0.1507186890 0.07001753 NA   2.153  0.7305
##   0.1519868204 0.06870311 NA   2.212  0.6886
##   0.0356700724 0.05944046 NA   0.600  1.0000
##   0.0150210156 0.07397390 NA   0.203  1.0000
##   0.1525252921 0.07585425 NA   2.011  0.8197
##   0.1591812194 0.07369811 NA   2.160  0.7255
##   0.2083915706 0.07125587 NA   2.925  0.2027
##   0.1514786574 0.08402749 NA   1.803  0.9160
##   0.1565889996 0.08470045 NA   1.849  0.8985
##   0.1563120506 0.08147754 NA   1.918  0.8679
##   0.1892285780 0.06624642 NA   2.856  0.2373
##  -0.2001358414 0.07455801 NA  -2.684  0.3405
##   0.1440477618 0.10117603 NA   1.424  0.9897
##   0.1299533753 0.12141910 NA   1.070  0.9996
##   0.1762692922 0.05861758 NA   3.007  0.1656
##   0.1775374236 0.05844960 NA   3.037  0.1533
##   0.0612206756 0.06812298 NA   0.899  1.0000
##   0.0405716188 0.06646761 NA   0.610  1.0000
##   0.1780758953 0.06630654 NA   2.686  0.3396
##   0.1847318226 0.06583458 NA   2.806  0.2653
##   0.2339421738 0.08055819 NA   2.904  0.2127
##   0.1770292606 0.07417229 NA   2.387  0.5577
##   0.1821396028 0.07669340 NA   2.375  0.5668
##   0.1818626538 0.07301946 NA   2.491  0.4785
##   0.2147791812 0.07574546 NA   2.836  0.2486
##  -0.1745852382 0.06420415 NA  -2.719  0.3178
##   0.1695983650 0.09377366 NA   1.809  0.9139
##   0.1555039785 0.11486737 NA   1.354  0.9938
##   0.0012681314 0.05964629 NA   0.021  1.0000
##  -0.1150486166 0.06971400 NA  -1.650  0.9590
##  -0.1356976735 0.06758208 NA  -2.008  0.8213
##   0.0018066031 0.06735094 NA   0.027  1.0000
##   0.0084625304 0.06694920 NA   0.126  1.0000
##   0.0576728816 0.08196813 NA   0.704  1.0000
##   0.0007599684 0.07506394 NA   0.010  1.0000
##   0.0058703106 0.07761168 NA   0.076  1.0000
##   0.0055933616 0.07398019 NA   0.076  1.0000
##   0.0385098890 0.07723002 NA   0.499  1.0000
##  -0.3508545304 0.06526253 NA  -5.376  <.0001
##  -0.0066709272 0.09450036 NA  -0.071  1.0000
##  -0.0207653137 0.11544668 NA  -0.180  1.0000
##  -0.1163167481 0.06841318 NA  -1.700  0.9473
##  -0.1369658049 0.06727900 NA  -2.036  0.8052
##   0.0005384717 0.06719180 NA   0.008  1.0000
##   0.0071943990 0.06666396 NA   0.108  1.0000
##   0.0564047502 0.08074364 NA   0.699  1.0000
##  -0.0005081630 0.07500761 NA  -0.007  1.0000
##   0.0046021792 0.07744667 NA   0.059  1.0000
##   0.0043252302 0.07381335 NA   0.059  1.0000
##   0.0372417575 0.07595597 NA   0.490  1.0000
##  -0.3521226618 0.06513743 NA  -5.406  <.0001
##  -0.0079390586 0.09441617 NA  -0.084  1.0000
##  -0.0220334451 0.11540700 NA  -0.191  1.0000
##  -0.0206490568 0.07373238 NA  -0.280  1.0000
##   0.1168552197 0.07558596 NA   1.546  0.9771
##   0.1235111470 0.07345089 NA   1.682  0.9519
##   0.1727214982 0.07128843 NA   2.423  0.5300
##   0.1158085851 0.08376569 NA   1.383  0.9923
##   0.1209189272 0.08446656 NA   1.432  0.9891
##   0.1206419782 0.08123292 NA   1.485  0.9843
##   0.1535585056 0.06627362 NA   2.317  0.6109
##  -0.2358059138 0.07427630 NA  -3.175  0.1061
##   0.1083776894 0.10096810 NA   1.073  0.9995
##   0.0942833029 0.12123881 NA   0.778  1.0000
##   0.1375042766 0.07425393 NA   1.852  0.8973
##   0.1441602038 0.07360280 NA   1.959  0.8480
##   0.1933705550 0.08512124 NA   2.272  0.6450
##   0.1364576419 0.08151642 NA   1.674  0.9537
##   0.1415679840 0.08360915 NA   1.693  0.9490
##   0.1412910350 0.08026418 NA   1.760  0.9301
##   0.1742075624 0.08063280 NA   2.161  0.7251
##  -0.2151568570 0.07245424 NA  -2.970  0.1818
##   0.1290267462 0.09960809 NA   1.295  0.9961
##   0.1149323598 0.11973502 NA   0.960  0.9999
##   0.0066559273 0.07369096 NA   0.090  1.0000
##   0.0558662785 0.08694164 NA   0.643  1.0000
##  -0.0010466347 0.08125670 NA  -0.013  1.0000
##   0.0040637075 0.08354721 NA   0.049  1.0000
##   0.0037867585 0.08018887 NA   0.047  1.0000
##   0.0367032859 0.08250626 NA   0.445  1.0000
##  -0.3526611335 0.07226329 NA  -4.880  0.0001
##  -0.0084775303 0.09946545 NA  -0.085  1.0000
##  -0.0225719168 0.11956387 NA  -0.189  1.0000
##   0.0492103512 0.08490800 NA   0.580  1.0000
##  -0.0077025620 0.08098278 NA  -0.095  1.0000
##  -0.0025922198 0.08311621 NA  -0.031  1.0000
##  -0.0028691688 0.07974903 NA  -0.036  1.0000
##   0.0300473586 0.08040096 NA   0.374  1.0000
##  -0.3593170608 0.07186778 NA  -5.000  0.0001
##  -0.0151334576 0.09918178 NA  -0.153  1.0000
##  -0.0292278441 0.11937314 NA  -0.245  1.0000
##  -0.0569129131 0.09426859 NA  -0.604  1.0000
##  -0.0518025710 0.09472272 NA  -0.547  1.0000
##  -0.0520795200 0.09186032 NA  -0.567  1.0000
##  -0.0191629926 0.07689211 NA  -0.249  1.0000
##  -0.4085274120 0.08586111 NA  -4.758  0.0002
##  -0.0643438088 0.10977470 NA  -0.586  1.0000
##  -0.0784381953 0.12871442 NA  -0.609  1.0000
##   0.0051103422 0.08995806 NA   0.057  1.0000
##   0.0048333932 0.08684135 NA   0.056  1.0000
##   0.0377499205 0.09016622 NA   0.419  1.0000
##  -0.3516144988 0.07951601 NA  -4.422  0.0011
##  -0.0074308957 0.10485076 NA  -0.071  1.0000
##  -0.0215252821 0.12404621 NA  -0.174  1.0000
##  -0.0002769490 0.08895831 NA  -0.003  1.0000
##   0.0326395784 0.09067775 NA   0.360  1.0000
##  -0.3567248410 0.08190631 NA  -4.355  0.0014
##  -0.0125412378 0.10667803 NA  -0.118  1.0000
##  -0.0266356243 0.12563852 NA  -0.212  1.0000
##   0.0329165274 0.08768134 NA   0.375  1.0000
##  -0.3564478920 0.07847490 NA  -4.542  0.0006
##  -0.0122642888 0.10406647 NA  -0.118  1.0000
##  -0.0263586753 0.12342636 NA  -0.214  1.0000
##  -0.3893644194 0.08135462 NA  -4.786  0.0002
##  -0.0451808162 0.10628626 NA  -0.425  1.0000
##  -0.0592752027 0.12574203 NA  -0.471  1.0000
##   0.3441836032 0.09806710 NA   3.510  0.0381
##   0.3300892167 0.11838922 NA   2.788  0.2756
##  -0.0140943865 0.13670012 NA  -0.103  1.0000
## 
## Results are averaged over the levels of: rep 
## P value adjustment: tukey method for comparing a family of 16 estimates

m <- glm(net.visitation~net.treatment:insect.RTU %in% rep, family = "gaussian", data = freq.2016)
anova(m, test = "Chisq")

## Analysis of Deviance Table
## 
## Model: gaussian, link: identity
## 
## Response: net.visitation
## 
## Terms added sequentially (first to last)
## 
## 
##                              Df Deviance Resid. Df Resid. Dev  Pr(>Chi)
## NULL                                           251    12.3646          
## net.treatment:insect.RTU:rep 64   5.0766       187     7.2879 1.981e-06
##                                 
## NULL                            
## net.treatment:insect.RTU:rep ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

lsmeans(m, pairwise~net.treatment:insect.RTU, adjust="tukey")

## $lsmeans
##  net.treatment                  insect.RTU    lsmean         SE df
##  Annual flowers in open         bees       0.2015817 0.05075361 NA
##  Annual flowers under Ambrosia  bees              NA         NA NA
##  Annual flowers under Larrea    bees              NA         NA NA
##  Larrea flowers with annuals    bees              NA         NA NA
##  Larrea flowers without annuals bees              NA         NA NA
##  Annual flowers in open         flies             NA         NA NA
##  Annual flowers under Ambrosia  flies             NA         NA NA
##  Annual flowers under Larrea    flies             NA         NA NA
##  Larrea flowers with annuals    flies             NA         NA NA
##  Larrea flowers without annuals flies             NA         NA NA
##  Annual flowers in open         none              NA         NA NA
##  Annual flowers under Ambrosia  none              NA         NA NA
##  Annual flowers under Larrea    none              NA         NA NA
##  Larrea flowers with annuals    none              NA         NA NA
##  Larrea flowers without annuals none              NA         NA NA
##  Annual flowers in open         other             NA         NA NA
##  Annual flowers under Ambrosia  other             NA         NA NA
##  Annual flowers under Larrea    other             NA         NA NA
##  Larrea flowers with annuals    other             NA         NA NA
##  Larrea flowers without annuals other             NA         NA NA
##  asymp.LCL asymp.UCL
##  0.1021065  0.301057
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
##         NA        NA
## 
## Results are averaged over the levels of: rep 
## Results are given on the identity (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                                                                   
##  Annual flowers in open,bees - Annual flowers under Ambrosia,bees           
##  Annual flowers in open,bees - Annual flowers under Larrea,bees             
##  Annual flowers in open,bees - Larrea flowers with annuals,bees             
##  Annual flowers in open,bees - Larrea flowers without annuals,bees          
##  Annual flowers in open,bees - Annual flowers in open,flies                 
##  Annual flowers in open,bees - Annual flowers under Ambrosia,flies          
##  Annual flowers in open,bees - Annual flowers under Larrea,flies            
##  Annual flowers in open,bees - Larrea flowers with annuals,flies            
##  Annual flowers in open,bees - Larrea flowers without annuals,flies         
##  Annual flowers in open,bees - Annual flowers in open,none                  
##  Annual flowers in open,bees - Annual flowers under Ambrosia,none           
##  Annual flowers in open,bees - Annual flowers under Larrea,none             
##  Annual flowers in open,bees - Larrea flowers with annuals,none             
##  Annual flowers in open,bees - Larrea flowers without annuals,none          
##  Annual flowers in open,bees - Annual flowers in open,other                 
##  Annual flowers in open,bees - Annual flowers under Ambrosia,other          
##  Annual flowers in open,bees - Annual flowers under Larrea,other            
##  Annual flowers in open,bees - Larrea flowers with annuals,other            
##  Annual flowers in open,bees - Larrea flowers without annuals,other         
##  Annual flowers under Ambrosia,bees - Annual flowers under Larrea,bees      
##  Annual flowers under Ambrosia,bees - Larrea flowers with annuals,bees      
##  Annual flowers under Ambrosia,bees - Larrea flowers without annuals,bees   
##  Annual flowers under Ambrosia,bees - Annual flowers in open,flies          
##  Annual flowers under Ambrosia,bees - Annual flowers under Ambrosia,flies   
##  Annual flowers under Ambrosia,bees - Annual flowers under Larrea,flies     
##  Annual flowers under Ambrosia,bees - Larrea flowers with annuals,flies     
##  Annual flowers under Ambrosia,bees - Larrea flowers without annuals,flies  
##  Annual flowers under Ambrosia,bees - Annual flowers in open,none           
##  Annual flowers under Ambrosia,bees - Annual flowers under Ambrosia,none    
##  Annual flowers under Ambrosia,bees - Annual flowers under Larrea,none      
##  Annual flowers under Ambrosia,bees - Larrea flowers with annuals,none      
##  Annual flowers under Ambrosia,bees - Larrea flowers without annuals,none   
##  Annual flowers under Ambrosia,bees - Annual flowers in open,other          
##  Annual flowers under Ambrosia,bees - Annual flowers under Ambrosia,other   
##  Annual flowers under Ambrosia,bees - Annual flowers under Larrea,other     
##  Annual flowers under Ambrosia,bees - Larrea flowers with annuals,other     
##  Annual flowers under Ambrosia,bees - Larrea flowers without annuals,other  
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,bees        
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,bees     
##  Annual flowers under Larrea,bees - Annual flowers in open,flies            
##  Annual flowers under Larrea,bees - Annual flowers under Ambrosia,flies     
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,flies       
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,flies       
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,flies    
##  Annual flowers under Larrea,bees - Annual flowers in open,none             
##  Annual flowers under Larrea,bees - Annual flowers under Ambrosia,none      
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,none        
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,none        
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,none     
##  Annual flowers under Larrea,bees - Annual flowers in open,other            
##  Annual flowers under Larrea,bees - Annual flowers under Ambrosia,other     
##  Annual flowers under Larrea,bees - Annual flowers under Larrea,other       
##  Annual flowers under Larrea,bees - Larrea flowers with annuals,other       
##  Annual flowers under Larrea,bees - Larrea flowers without annuals,other    
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,bees     
##  Larrea flowers with annuals,bees - Annual flowers in open,flies            
##  Larrea flowers with annuals,bees - Annual flowers under Ambrosia,flies     
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,flies       
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,flies       
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,flies    
##  Larrea flowers with annuals,bees - Annual flowers in open,none             
##  Larrea flowers with annuals,bees - Annual flowers under Ambrosia,none      
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,none        
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,none        
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,none     
##  Larrea flowers with annuals,bees - Annual flowers in open,other            
##  Larrea flowers with annuals,bees - Annual flowers under Ambrosia,other     
##  Larrea flowers with annuals,bees - Annual flowers under Larrea,other       
##  Larrea flowers with annuals,bees - Larrea flowers with annuals,other       
##  Larrea flowers with annuals,bees - Larrea flowers without annuals,other    
##  Larrea flowers without annuals,bees - Annual flowers in open,flies         
##  Larrea flowers without annuals,bees - Annual flowers under Ambrosia,flies  
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,flies    
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,flies    
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,flies 
##  Larrea flowers without annuals,bees - Annual flowers in open,none          
##  Larrea flowers without annuals,bees - Annual flowers under Ambrosia,none   
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,none     
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,none     
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,none  
##  Larrea flowers without annuals,bees - Annual flowers in open,other         
##  Larrea flowers without annuals,bees - Annual flowers under Ambrosia,other  
##  Larrea flowers without annuals,bees - Annual flowers under Larrea,other    
##  Larrea flowers without annuals,bees - Larrea flowers with annuals,other    
##  Larrea flowers without annuals,bees - Larrea flowers without annuals,other 
##  Annual flowers in open,flies - Annual flowers under Ambrosia,flies         
##  Annual flowers in open,flies - Annual flowers under Larrea,flies           
##  Annual flowers in open,flies - Larrea flowers with annuals,flies           
##  Annual flowers in open,flies - Larrea flowers without annuals,flies        
##  Annual flowers in open,flies - Annual flowers in open,none                 
##  Annual flowers in open,flies - Annual flowers under Ambrosia,none          
##  Annual flowers in open,flies - Annual flowers under Larrea,none            
##  Annual flowers in open,flies - Larrea flowers with annuals,none            
##  Annual flowers in open,flies - Larrea flowers without annuals,none         
##  Annual flowers in open,flies - Annual flowers in open,other                
##  Annual flowers in open,flies - Annual flowers under Ambrosia,other         
##  Annual flowers in open,flies - Annual flowers under Larrea,other           
##  Annual flowers in open,flies - Larrea flowers with annuals,other           
##  Annual flowers in open,flies - Larrea flowers without annuals,other        
##  Annual flowers under Ambrosia,flies - Annual flowers under Larrea,flies    
##  Annual flowers under Ambrosia,flies - Larrea flowers with annuals,flies    
##  Annual flowers under Ambrosia,flies - Larrea flowers without annuals,flies 
##  Annual flowers under Ambrosia,flies - Annual flowers in open,none          
##  Annual flowers under Ambrosia,flies - Annual flowers under Ambrosia,none   
##  Annual flowers under Ambrosia,flies - Annual flowers under Larrea,none     
##  Annual flowers under Ambrosia,flies - Larrea flowers with annuals,none     
##  Annual flowers under Ambrosia,flies - Larrea flowers without annuals,none  
##  Annual flowers under Ambrosia,flies - Annual flowers in open,other         
##  Annual flowers under Ambrosia,flies - Annual flowers under Ambrosia,other  
##  Annual flowers under Ambrosia,flies - Annual flowers under Larrea,other    
##  Annual flowers under Ambrosia,flies - Larrea flowers with annuals,other    
##  Annual flowers under Ambrosia,flies - Larrea flowers without annuals,other 
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,flies      
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,flies   
##  Annual flowers under Larrea,flies - Annual flowers in open,none            
##  Annual flowers under Larrea,flies - Annual flowers under Ambrosia,none     
##  Annual flowers under Larrea,flies - Annual flowers under Larrea,none       
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,none       
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,none    
##  Annual flowers under Larrea,flies - Annual flowers in open,other           
##  Annual flowers under Larrea,flies - Annual flowers under Ambrosia,other    
##  Annual flowers under Larrea,flies - Annual flowers under Larrea,other      
##  Annual flowers under Larrea,flies - Larrea flowers with annuals,other      
##  Annual flowers under Larrea,flies - Larrea flowers without annuals,other   
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,flies   
##  Larrea flowers with annuals,flies - Annual flowers in open,none            
##  Larrea flowers with annuals,flies - Annual flowers under Ambrosia,none     
##  Larrea flowers with annuals,flies - Annual flowers under Larrea,none       
##  Larrea flowers with annuals,flies - Larrea flowers with annuals,none       
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,none    
##  Larrea flowers with annuals,flies - Annual flowers in open,other           
##  Larrea flowers with annuals,flies - Annual flowers under Ambrosia,other    
##  Larrea flowers with annuals,flies - Annual flowers under Larrea,other      
##  Larrea flowers with annuals,flies - Larrea flowers with annuals,other      
##  Larrea flowers with annuals,flies - Larrea flowers without annuals,other   
##  Larrea flowers without annuals,flies - Annual flowers in open,none         
##  Larrea flowers without annuals,flies - Annual flowers under Ambrosia,none  
##  Larrea flowers without annuals,flies - Annual flowers under Larrea,none    
##  Larrea flowers without annuals,flies - Larrea flowers with annuals,none    
##  Larrea flowers without annuals,flies - Larrea flowers without annuals,none 
##  Larrea flowers without annuals,flies - Annual flowers in open,other        
##  Larrea flowers without annuals,flies - Annual flowers under Ambrosia,other 
##  Larrea flowers without annuals,flies - Annual flowers under Larrea,other   
##  Larrea flowers without annuals,flies - Larrea flowers with annuals,other   
##  Larrea flowers without annuals,flies - Larrea flowers without annuals,other
##  Annual flowers in open,none - Annual flowers under Ambrosia,none           
##  Annual flowers in open,none - Annual flowers under Larrea,none             
##  Annual flowers in open,none - Larrea flowers with annuals,none             
##  Annual flowers in open,none - Larrea flowers without annuals,none          
##  Annual flowers in open,none - Annual flowers in open,other                 
##  Annual flowers in open,none - Annual flowers under Ambrosia,other          
##  Annual flowers in open,none - Annual flowers under Larrea,other            
##  Annual flowers in open,none - Larrea flowers with annuals,other            
##  Annual flowers in open,none - Larrea flowers without annuals,other         
##  Annual flowers under Ambrosia,none - Annual flowers under Larrea,none      
##  Annual flowers under Ambrosia,none - Larrea flowers with annuals,none      
##  Annual flowers under Ambrosia,none - Larrea flowers without annuals,none   
##  Annual flowers under Ambrosia,none - Annual flowers in open,other          
##  Annual flowers under Ambrosia,none - Annual flowers under Ambrosia,other   
##  Annual flowers under Ambrosia,none - Annual flowers under Larrea,other     
##  Annual flowers under Ambrosia,none - Larrea flowers with annuals,other     
##  Annual flowers under Ambrosia,none - Larrea flowers without annuals,other  
##  Annual flowers under Larrea,none - Larrea flowers with annuals,none        
##  Annual flowers under Larrea,none - Larrea flowers without annuals,none     
##  Annual flowers under Larrea,none - Annual flowers in open,other            
##  Annual flowers under Larrea,none - Annual flowers under Ambrosia,other     
##  Annual flowers under Larrea,none - Annual flowers under Larrea,other       
##  Annual flowers under Larrea,none - Larrea flowers with annuals,other       
##  Annual flowers under Larrea,none - Larrea flowers without annuals,other    
##  Larrea flowers with annuals,none - Larrea flowers without annuals,none     
##  Larrea flowers with annuals,none - Annual flowers in open,other            
##  Larrea flowers with annuals,none - Annual flowers under Ambrosia,other     
##  Larrea flowers with annuals,none - Annual flowers under Larrea,other       
##  Larrea flowers with annuals,none - Larrea flowers with annuals,other       
##  Larrea flowers with annuals,none - Larrea flowers without annuals,other    
##  Larrea flowers without annuals,none - Annual flowers in open,other         
##  Larrea flowers without annuals,none - Annual flowers under Ambrosia,other  
##  Larrea flowers without annuals,none - Annual flowers under Larrea,other    
##  Larrea flowers without annuals,none - Larrea flowers with annuals,other    
##  Larrea flowers without annuals,none - Larrea flowers without annuals,other 
##  Annual flowers in open,other - Annual flowers under Ambrosia,other         
##  Annual flowers in open,other - Annual flowers under Larrea,other           
##  Annual flowers in open,other - Larrea flowers with annuals,other           
##  Annual flowers in open,other - Larrea flowers without annuals,other        
##  Annual flowers under Ambrosia,other - Annual flowers under Larrea,other    
##  Annual flowers under Ambrosia,other - Larrea flowers with annuals,other    
##  Annual flowers under Ambrosia,other - Larrea flowers without annuals,other 
##  Annual flowers under Larrea,other - Larrea flowers with annuals,other      
##  Annual flowers under Larrea,other - Larrea flowers without annuals,other   
##  Larrea flowers with annuals,other - Larrea flowers without annuals,other   
##  estimate SE df z.ratio p.value
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
##        NA NA NA      NA      NA
## 
## Results are averaged over the levels of: rep 
## P value adjustment: tukey method for comparing a family of 20 estimates

Model assumptions

1. It is acceptable to aggregate all treatments into one vector.
   
2. The best fit model included interaction terms (not additive) and nests insect.RTU within reps.
3. The data are poisson for count and frequency.
   
4. It is acceptable to treat each year separately and not in a single model.

Interpretation